title:
A Light Supersymmetric Axion in an Anomalous Abelian Extension of the
  Standard Model

abstract:
  We present a supersymmetric extension of the Standard Model (USSM-A) with an
anomalous U(1) and Stueckelberg axions for anomaly cancellation, generalizing
similar non-supersymmetric constructions. The model, built by a bottom-up
approach, is expected to capture the low-energy supersymmetric description of
axionic symmetries in theories with gauged anomalous abelian interactions,
previously explored in the non-supersymmetric case for scenarios with
intersecting branes. The choice of a USSM-like superpotential, with one extra
singlet superfield and an extra abelian symmetry, allows a physical axion-like
particle in the spectrum. We describe some general features of this
construction and in particular the modification of the dark-matter sector which
involves both the axion and several neutralinos with an axino component. The
axion is expected to be very light in the absence of phases in the
superpotential but could acquire a mass which can also be in the few GeV range
or larger. In particular, the gauging of the anomalous symmetry allows
independent mass/coupling interaction to the gauge fields of this particle, a
feature which is absent in traditional (invisible) axion models. We comment on
the general implications of our study for the signature of moduli from string
theory due to the presence of these anomalous symmetries.


title:
A $\mathbb{Z}$-basis for the cluster algebra associated to an affine
  quiver

abstract:
  The canonical bases of cluster algebras of finite types and rank 2 are given
explicitly in \cite{CK2005} and \cite{SZ} respectively. In this paper, we will
deduce $\mathbb{Z}$-bases for cluster algebras for affine types
$\widetilde{A}_{n,n},\widetilde{D}$ and $\widetilde{E}$. Moreover, we give an
inductive formula for computing the multiplication between two generalized
cluster variables associated to objects in a tube.


title: Flexomagnetoelectric effect in bismuth ferrite

abstract:
  There is a profound analogy between inhomogeneous magnetoelectric effect in
multiferroics and flexoelectric effect in liquid crystals. This similarity
gives rise to the flexomagnetoelectric polarization induced by spin modulation.
The theoretical estimations of flexomagnetoelectric polarization agree with the
value of jumps of polarization in magnetoelectric dependences (~20muC/m^2)
observed at spin cycloid suppression at critical magnetic field 200kOe.


title: Little Randall-Sundrum models: epsilon_K strikes again

abstract:
  A detailed phenomenological analysis of neutral kaon mixing in "little
Randall-Sundrum" models is presented. It is shown that the constraints arising
from the CP-violating quantity epsilon_K can, depending on the value of the
ultra-violet cutoff, be even stronger than in the original Randall-Sundrum
scenario addressing the hierarchy problem up to the Planck scale. The origin of
the enhancement is explained, and a bound Lambda_{UV}>several 10^3 TeV is
derived, below which vast corrections to epsilon_K are generically unavoidable.
Implications for non-standard Z->bb couplings are briefly discussed.


title: Thermodynamics Of dilaton-axion black holes

abstract:
  Considering a generalised action for Einstein Maxwell theory in four
dimensions coupled to scalar and pseudo-scalar fields, the thermodynamic
properties of asymptotically flat black holes solutions in such a background
are investigated. Bekenstein-Hawking area-entropy law is verified for these
class of black holes. From the property of specific heat, it is shown that such
black holes can be stable for certain choice of the parameters like charge,
mass and the scalar vacuum expectation value. The possibility of a black hole
phase transition is discussed in this context.


title:
A geometric algebra reformulation of 2x2 matrices: the dihedral group
  D_4 in bra-ket notation

abstract:
  We represent vector rotation operators in terms of bras or kets of half-angle
exponentials in Clifford (geometric) algebra Cl_{3,0}. We show that SO_3 is a
rotation group and we define the dihedral group D_4 as its finite subgroup. We
use the Euler-Rodrigues formulas to compute the multiplication table of D_4 and
derive its group algebra identities. We take the linear combination of rotation
operators in D_4 to represent the four Fermion matrices in Sakurai, which in
turn we use to decompose any 2x2 matrix. We show that bra and ket operators
generate left- and right-acting matrices, respectively. We also show that the
Pauli spin matrices are not vectors but vector rotation operators, except for
\sigma_2 which requires a subsequent multiplication by the imaginary number i
geometrically interpreted as the unit oriented volume.


title: Some new reflections on Mr. Palomar

abstract:
  The character Mr. Palomar, the alter-ego of the Italian author Italo Calvino,
appeared for the first time in 1975 on the pages of the "Il Corriere della
Sera", and then more or less regularly till its debut as a book in 1983.
Through illuminating thoughts and reflections based on observations, for
instance, of sea waves, Mr. Palomar discovers that they induce a peaceful and
inspirational state of mind that prevents coronary and mental illnesses, and
also holds the key to capturing the complexity of the world reducing it into
its most elementary mechanisms. In this contribution I will survey some of Mr.
Palomar's thoughts while he observes the sky and speculate on others that he
might have explored if he shared our contemporary knowledge of the cosmos. I
will also discuss the thoughts of other authors on how, cosmological thinking
affects the human condition.


title: Discrete random walk with barriers on a locally infinite graph

abstract:
  We obtain expected number of arrivals, absorption probabilities and expected
time before absorption for an asymmetric discrete random walk on a locally
infinite graph in the presence of multiple function barriers

categories: math.PR cond-mat.stat-mech math-ph math.MP


title: Comment on the new AdS universe

abstract:
  We show that Bonnor's new Anti-de Sitter (AdS) universe and its D-dimensional
generalization is the previously studied AdS soliton.


title: STIRAP transport of Bose-Einstein condensate in triple-well trap

abstract:
  The irreversible transport of multi-component Bose-Einstein condensate (BEC)
is investigated within the Stimulated Adiabatic Raman Passage (STIRAP) scheme.
A general formalism for a single BEC in M-well trap is derived and analogy
between multi-photon and tunneling processes is demonstrated. STIRAP transport
of BEC in a cyclic triple-well trap is explored for various values of detuning
and interaction between BEC atoms. It is shown that STIRAP provides a complete
population transfer at zero detuning and interaction and persists at their
modest values. The detuning is found not to be obligatory. The possibility of
non-adiabatic transport with intuitive order of couplings is demonstrated.
Evolution of the condensate phases and generation of dynamical and geometric
phases are inspected. It is shown that STIRAP allows to generate the
unconventional geometrical phase which is now of a keen interest in quantum
computing.


title: Chaotic advection of inertial particles in two dimensional flows

abstract:
  We study the dynamics of inertial particles in two dimensional incompressible
flows. The Maxey-Riley equation describing the motion of inertial particles is
used to construct a four dimensional dissipative bailout embedding map. This
map models the dynamics of the inertial particles while the base flow is
represented by a 2-d area preserving map. The dynamics of particles heavier
than the fluid, the aerosols, as well as that of bubbles, particles lighter
than the fluid, can be classified into 3 main dynamical regimes - periodic
orbits, chaotic structures and mixed regions. A phase diagram in the parameter
space is constructed with the Lyapunov characteristic exponents of the 4-d map
in which these dynamical regimes are distinctly identified. The embedding map
can target periodic orbits, as well as chaotic structures, in both the aerosol
and bubble regimes, at suitable values of the dissipation parameter.


title:
Spherical Averaged Endpoint Strichartz Estimates for The Two-dimensional
  Schrodinger Equations with Inverse Square Potential

abstract:
  The endpoint Strichartz estimates for two-dimensional Schrodinger equations
were recovered by averaging the solutions in L^2 in the angular variable by
Tao. For Schrodinger equations with defocusing inverse square potential, we
proved that the homogeneous endpoint estimates hold under this setting. In
particular, the original versions of endpoint estimates hold for radial data.


title: Fluctuation theorem for currents in open quantum systems

abstract:
  A quantum-mechanical framework is set up to describe the full counting
statistics of particles flowing between reservoirs in an open system under
time-dependent driving. A symmetry relation is obtained which is the
consequence of microreversibility for the probability of the nonequilibrium
work and the transfer of particles and energy between the reservoirs. In some
appropriate long-time limit, the symmetry relation leads to a steady-state
quantum fluctuation theorem for the currents between the reservoirs. On this
basis, relationships are deduced which extend the Onsager-Casimir reciprocity
relations to the nonlinear response coefficients.


title:
A general CFT model for antiferromagnetic spin-1/2 ladders with Mobius
  boundary conditions

abstract:
  We show how the low-energy properties of the 2-leg XXZ spin-1/2 ladders with
general anisotropy parameter $\Delta $ on closed geometries can be accounted
for in the framework of the m-reduction procedure developed in [1]. In the
limit of quasi-decoupled chains, a conformal field theory (CFT) with central
charge c=2 is derived and its ability to describe the model with different
boundary conditions is shown. Special emphasis is given to the Mobius boundary
conditions which generate a topological defect corresponding to non trivial
single-spinon excitations. Then, in the case of the 2-leg XXX ladders we
discuss in detail the role of various perturbations in determining the
renormalization group flow starting from the ultraviolet (UV) critical point
with c=2.


title: Synchronization of coupled demographic oscillators

abstract:
  Demographic oscillators are individual-based systems exhibiting temporal
cycles sustained by the stochastic dynamics of the microscopic interacting
particles. We here use the example of coupled predator-prey oscillators to show
that synchronization to a common frequency can occur between two such systems,
even if they oscillate at different frequencies in the absence of coupling. The
power spectra of the separate and the coupled systems are computed within a van
Kampen expansion in the inverse system size, and it is found that they exhibit
two peaks at separate frequencies at low coupling, but that only one peak is
present at large enough coupling strength. We further make predictions on the
time behaviour of the phases of the two oscillators, and their phase
difference, and confirm the frequency entrainment at sufficiently large
coupling. Theoretical results are verified convincingly in numerical
simulations.


title:
Distances and peculiar velocities of spiral galaxies in the 2MFGC and
  SFI++ samples

abstract:
  We compare infrared Tully-Fisher (TF) distances and peculiar velocities
derived for spiral galaxies from the two largest datasets: the 2MASS selected
Flat Galaxy Catalog, 2MFGC [19, 20] and the Arecibo General Catalog with I-band
photometry, SFI++ [30,7]. These samples contain peculiar velocities for ~3000
and ~4000 objects, respectively. Based on a sub-sample of ~1000 common deeply
inclined galaxies, we reach the following conclusions. Irrespective to high
(SFI++) or low (2MFGC) quality of the used photometric data, about 10% of the
galaxies in both samples deviate considerably from the main body of the TF
relation. After their deletion, the standard TF scatters drops to 0.47^m
(2MFGC) and 0.40^m (SFI++). The TF distances, derived from two the samples,
demonstrate a high degree of mutual agreement with a correlation coefficient
\ro=+0.95 and \sigma(H_0r)=837 km/s. Peculiar velocities of the galaxies are
also correlated with \ro=0.56-0.59 and \sigma(V_pec)=610 km/s. We find that the
bulk motion of the 2MFGC and SFI++ galaxies on a typical scale of H_0r~5700
km/s can be represented by a dipole solution with the amplitude V=297+/-23 km/s
directed towards l=292+/-4 degr., b=-12+/-3 degr., being only slightly
sensitive to different modifications of the TF relaton.


title: Temporal Support of Regular Expressions in Sequential Pattern Mining

abstract:
  Classic algorithms for sequential pattern discovery, return all frequent
sequences present in a database, but, in general, only a few ones are
interesting for the user. Languages based on regular expressions (RE) have been
proposed to restrict frequent sequences to the ones that satisfy user-specified
constraints. Although the support of a sequence is computed as the number of
data-sequences satisfying a pattern with respect to the total number of
data-sequences in the database, once regular expressions come into play, new
approaches to the concept of support are needed. For example, users may be
interested in computing the support of the RE as a whole, in addition to the
one of a particular pattern. Also, when the items are frequently updated, the
traditional way of counting support in sequential pattern mining may lead to
incorrect (or, at least incomplete), conclusions. The problem gets more
involved if we are interested in categorical sequential patterns. In light of
the above, in this paper we propose to revise the classic notion of support in
sequential pattern mining, introducing the concept of temporal support of
regular expressions, intuitively defined as the number of sequences satisfying
a target pattern, out of the total number of sequences that could have possibly
matched such pattern, where the pattern is defined as a RE over complex items
(i.e., not only item identifiers, but also attributes and functions).


title:
Plasmon dispersion in quasi-one and one-dimensional systems with
  non-magnetic impurities

abstract:
  We calculate the plasmon dispersion in quasi-one-dimensional quantum wires,
in the presence of non-magnetic impurities, taking into consideration the
memory function formalism and the role of the forward scattering. The plasma
frequency is reduced by the presence of impurities. We also calculate,
analytically, the plasmon dispersion in the Born approximation, for the
scattering of the electrons by the non-magnetic impurities. We compare our
result with the numerical results of Sarma and Hwang.


title: Extended Crystal PDE's

abstract:
  In this paper we show that between PDE's and crystallographic groups there is
an unforeseen relation. In fact we prove that integral bordism groups of PDE's
can be considered extensions of crystallographic subgroups. In this respect we
can consider PDE's as {\em extended crystals}. Then an algebraic-topological
obstruction ({\em crystal obstruction}), characterizing existence of global
smooth solutions for smooth boundary value problems, is obtained. Applications
of this new theory to the Ricci-flow equation and Navier-Stokes equation are
given that solve some well-known fundamental problems. These results, are also
extended to singular PDE's, introducing ({\em extended crystal singular
PDE's}). An application to singular MHD-PDE's, is given following some our
previous results on such equations, and showing existence of (finite times
stable smooth) global solutions crossing critical nuclear energy production
zone.


title: Modeling transitional plane Couette flow

abstract:
  The Galerkin method is used to derive a realistic model of plane Couette flow
in terms of partial differential equations governing the space-time dependence
of the amplitude of a few cross-stream modes. Numerical simulations show that
it reproduces the globally sub-critical behavior typical of this flow. In
particular, the statistics of turbulent transients at decay from turbulent to
laminar flow displays striking similarities with experimental findings.


title: Large scale flow around turbulent spots

abstract:
  Numerical simulations of a model of plane Couette flow focusing on its
in-plane spatio-temporal properties are used to study the dynamics of turbulent
spots.


title:
Nonseparability, Potentiality and the Context-Dependence of Quantum
  Objects

abstract:
  Standard quantum mechanics undeniably violates the notion of separability
that classical physics accustomed us to consider as valid. By relating the
phenomenon of quantum nonseparability to the all-important concept of
potentiality, we effectively provide a coherent picture of the puzzling
entangled correlations among spatially separated systems. We further argue that
the generalized phenomenon of quantum nonseparability implies contextuality for
the production of well-defined events in the quantum domain, whereas
contextuality entails in turn a structural-relational conception of quantal
objects, viewed as carriers of dispositional properties. It is finally
suggested that contextuality, if considered as a conditionalization preparation
procedure of the object to be measured, naturally leads to a separable concept
of reality whose elements are experienced as distinct, well-localized objects
having determinate properties. In this connection, we find it necessary to
distinguish the meaning of the term reality from the criterion of reality for
us. The implications of the latter considerations for the notion of objectivity
in quantum mechanics are also discussed.


title: Predictability in Nonlinear Dynamical Systems with Model Uncertainty

abstract:
  Nonlinear systems with model uncertainty are often described by stochastic
differential equations. Some techniques from random dynamical systems are
discussed. They are relevant to better understanding of solution processes of
stochastic differential equations and thus may shed lights on predictability in
nonlinear systems with model uncertainty.


title: Principal Realization of the Yangian Y(gl(n))

abstract:
  Motivated to simplify the structure of tensor representations we give a new
set of generators for the Yangian $Y(sl(n))$ using the principal realization in
simple Lie algebras. The isomorphism between our new basis and the standard
Cartan-Weyl basis is also given. We show by example that the principal basis
simplifies the Yangian action significantly in the tensor product of the
fundamental representation and its dual.


title: Stochastic Modeling of Unresolved Scales in Complex Systems

abstract:
  Model uncertainties and simulation uncertainties occur in mathematical
modeling of multiscale complex systems, since some mechanisms or scales are not
represented (i.e., "unresolved") due to lack in our understanding of these
mechanisms or limitations in computational power. The impact of these
unresolved scales on the resolved scales needs to be parameterized or taken
into account. A stochastic scheme is devised to take the effects of unresolved
scales into account, in the context of solving nonlinear partial differential
equations. An example is presented to demonstrate this strategy.


title: Relative Spin Polarization of Parity-Violating Asymmetries

abstract:
  Parity-violating asymmetries in polarized electron scattering have been
interpreted as the asymmetries between opposite helicities of incoming fermion
based on the approximation of the spin polarization operator. Here exact
calculations of cross sections for parity-violating asymmetries in SLAC E158
and SLD have been performed using spin projection operators. And the
parity-violating factor incorporating with spin polarization and momentum has
been identified and shown that its sign depends on the spin polarization of
incoming particle and the relative velocity of incoming and target particles.
Therefore, I suggest a new concept of relative spin polarization to interpret
the parity-violating asymmetry as contributed by the antisymmetric nature of
the weak interactions depending on whether the spin direction of the incoming
electron is inward or outward relative to the target electron.


title: Symmetric matrices related to the Mertens function

abstract:
  In this paper we explore a family of congruences over $\N^\ast$ from which
one builds a sequence of symmetric matrices related to the Mertens function.
  From the results of numerical experiments, we formulate a conjecture about
the growth of the quadratic norm of these matrices, which implies the Riemann
hypothesis. This suggests that matrix analysis methods may come to play a more
important role in this classical and difficult problem.


title: Pseudo-euclidean Jordan algebras

abstract:
  A Jordan algebra J is said to be pseudo-euclidean if J is endowed with an
associative non-degenerate symmetric bilinear form B. B is said an associative
scalar product on J. First, we provide a description of the pseudo-euclidean
Jordan K-algebras in terms of double extensions and generalized double
extensions. In particular, we shall use this description to construct all
pseudo-euclidean Jordan algebras of dimension less than or equal to 5. And
then, from one of these algebras, we shall construct a twelve dimension Lie
algebra by the "TKK" construction. Second, a description of symplectic
pseudo-euclidean Jordan algebras is provided and finally we describe a
particular class of these algebras namely the class of symplectic Jordan-Manin
Algebras. In addition to these descriptions, this paper demonstrates that these
last two classes are identical and provides several information on the
structure of pseudo-euclidean Jordan algebras.


title: Ergodic seminorms for commuting transformations and applications

abstract:
  Recently, T. Tao gave a finitary proof a convergence theorem for multiple
averages with several commuting transformations and soon later, T. Austin gave
an ergodic proof of the same result. Although we give here one more proof of
the same theorem, this is not the main goal of this paper. Our main concern is
to provide some tools for the case of several commuting transformations,
similar to the tools successfully used in the case of a single transformation,
with the idea that they will be useful in the solution of other problems.


title: Highly Undecidable Problems about Recognizability by Tiling Systems

abstract:
  Altenbernd, Thomas and W\"ohrle have considered acceptance of languages of
infinite two-dimensional words (infinite pictures) by finite tiling systems,
with usual acceptance conditions, such as the B\"uchi and Muller ones [1]. It
was proved in [9] that it is undecidable whether a B\"uchi-recognizable
language of infinite pictures is E-recognizable (respectively, A-recognizable).
We show here that these two decision problems are actually $\Pi_2^1$-complete,
hence located at the second level of the analytical hierarchy, and "highly
undecidable". We give the exact degree of numerous other undecidable problems
for B\"uchi-recognizable languages of infinite pictures. In particular, the
non-emptiness and the infiniteness problems are $\Sigma^1_1$-complete, and the
universality problem, the inclusion problem, the equivalence problem, the
determinizability problem, the complementability problem, are all
$\Pi^1_2$-complete. It is also $\Pi^1_2$-complete to determine whether a given
B\"uchi recognizable language of infinite pictures can be accepted row by row
using an automaton model over ordinal words of length $\omega^2$.


title:
Parametric estimation and tests through divergences and duality
  technique

abstract:
  We introduce estimation and test procedures through divergence optimization
for discrete or continuous parametric models. This approach is based on a new
dual representation for divergences. We treat point estimation and tests for
simple and composite hypotheses, extending maximum likelihood technique. An
other view at the maximum likelihood approach, for estimation and test, is
given. We prove existence and consistency of the proposed estimates. The limit
laws of the estimates and test statistics (including the generalized likelihood
ratio one) are given both under the null and the alternative hypotheses, and
approximation of the power functions is deduced. A new procedure of
construction of confidence regions, when the parameter may be a boundary value
of the parameter space, is proposed. Also, a solution to the irregularity
problem of the generalized likelihood ratio test pertaining to the number of
components in a mixture is given, and a new test is proposed, based on $\chi
^{2}$-divergence on signed finite measures and duality technique.


title: The TASEP speed process

abstract:
  In the multi-type totally asymmetric simple exclusion process (TASEP) on the
line, each site of Z is occupied by a particle labeled with some number, and
two neighboring particles are interchanged at rate one if their labels are in
increasing order. Consider the process with the initial configuration where
each particle is labeled by its position. It is known that in this case a.s.
each particle has an asymptotic speed which is distributed uniformly on [-1,1].
We study the joint distribution of these speeds: the TASEP speed process. We
prove that the TASEP speed process is stationary with respect to the multi-type
TASEP dynamics. Consequently, every ergodic stationary measure is given as a
projection of the speed process measure. This generalizes previous descriptions
restricted to finitely many classes. By combining this result with known
stationary measures for TASEPs with finitely many types, we compute several
marginals of the speed process, including the joint density of two and three
consecutive speeds. One striking property of the distribution is that two
speeds are equal with positive probability and for any given particle there are
infinitely many others with the same speed. We also study the partially
asymmetric simple exclusion process (ASEP). We prove that the states of the
ASEP with the above initial configuration, seen as permutations of Z, are
symmetric in distribution. This allows us to extend some of our results,
including the stationarity and description of all ergodic stationary measures,
also to the ASEP.


title:
Approximation of quantum graph vertex couplings by scaled Schr\"odinger
  operators on thin branched manifolds

abstract:
  We discuss approximations of vertex couplings of quantum graphs using
families of thin branched manifolds. We show that if a Neumann type Laplacian
on such manifolds is amended by suitable potentials, the resulting
Schr\"odinger operators can approximate non-trivial vertex couplings. The
latter include not only the delta-couplings but also those with wavefunctions
discontinuous at the vertex. We work out the example of the symmetric
delta'-couplings and conjecture that the same method can be applied to all
couplings invariant with respect to the time reversal.


title: One-loop Self Energies in Softly Broken Supersymmetric QED

abstract:
  We apply the supergraph with spurion technique to compute the renormalization
of one-loop diagrams that contributes to electron and selectron self energies
in a softly broken Supersymmetric Quantum Electrodynamics (SQED). In
particular, we calculate the one-loop gauge superfield contribution to the
two-point function.


title: A simple intrinsic reduced-observer for geodesic flow

abstract:
  Aghannan and Rouchon proposed a new design method of asymptotic observers for
a class of nonlinear mechanical systems: Lagrangian systems with configuration
(position) measurements. The observer is based on the Riemannian structure of
the configuration manifold endowed with the kinetic energy metric and is
intrinsic. They proved local convergence. When the system is conservative, we
propose a globally convergent intrinsic reduced-observer based on the Jacobi
metric. For non-conservative systems the observer can be used as a complement
to the one of Aghannan and Rouchon. More generally the reduced-observer
provides velocity estimation for geodesic flow with position measurements. Thus
it can be (formally) used as a fluid flow soft sensor in the case of a perfect
incompressible fluid. When the curvature is negative in all planes the geodesic
flow is sensitive to initial conditions. Surprisingly this instability yields
faster convergence.


title:
Existence of natural and conformally invariant quantizations of
  arbitrary symbols

abstract:
  A quantization over a manifold can be seen as a way to construct a
differential operator with prescribed principal symbol. The quantization map is
moreover required to be a linear bijection. It is known that there is in
general no natural quantization procedure. However, considering manifolds
endowed with additional structures, such as projective or pseudo-conformal
structures, one can seek for quantizations that depend on this additional
structure and that are natural if the dependence with respect to the structure
is taken into account.
  The question of existence of such a quantization was addressed in a series of
papers in the context of projective geometry, using the framework of
Thomas-Whitehead connections (see Bordemann, Hansoul and Fox). Recently, we
recovered these existence results, using the theory of Cartan projective
connections.
  In the present work, we show that our method can be adapted to
pseudo-conformal geometry to yield the so-called natural and conformally
invariant quantization for arbitrary symbols, still outside some critical
situations. Our method is general enough to analyze the problem of invariant
quantizations in the context of manifolds with irreducible parabolic
geometries.


title: Deformations of symplectic vortices

abstract:
  We prove a gluing theorem for a symplectic vortex on a compact complex curve
and a collection of holomorphic sphere bubbles. Using the theorem we show that
the moduli space of regular stable symplectic vortices on a fixed curve with
varying markings has the structure of a stratified-smooth topological orbifold.
In addition, we show that the moduli space has a non-canonical $C^1$-orbifold
structure.


title: Performance Modeling and Evaluation for Information-Driven Networks

abstract:
  Information-driven networks include a large category of networking systems,
where network nodes are aware of information delivered and thus can not only
forward data packets but may also perform information processing. In many
situations, the quality of service (QoS) in information-driven networks is
provisioned with the redundancy in information. Traditional performance models
generally adopt evaluation measures suitable for packet-oriented service
guarantee, such as packet delay, throughput, and packet loss rate. These
performance measures, however, do not align well with the actual need of
information-driven networks. New performance measures and models for
information-driven networks, despite their importance, have been mainly blank,
largely because information processing is clearly application dependent and
cannot be easily captured within a generic framework. To fill the vacancy, we
present a new performance evaluation framework particularly tailored for
information-driven networks, based on the recent development of stochastic
network calculus. We analyze the QoS with respect to information delivery and
study the scheduling problem with the new performance metrics. Our analytical
framework can be used to calculate the network capacity in information delivery
and in the meantime to help transmission scheduling for a large body of systems
where QoS is stochastically guaranteed with the redundancy in information.


title:
The Correlation Function of Multiple Dependent Poisson Processes
  Generated by the Alternating Renewal Process Method

abstract:
  We derive conditions under which alternating renewal processes can be used to
construct correlated Poisson processes. The pairwise correlation function is
also derived, showing that the resulting correlations can be negative. The
technique and the analysis can be extended to the generation of two or more
dependent renewal processes.


title:
Probing Spectroscopic Variability of Galaxies & Narrow-Line Active
  Galactic Nuclei in the Sloan Digital Sky Survey

abstract:
  Under the unified model for active galactic nuclei (AGNs), narrow-line (Type
2) AGNs are, in fact, broad-line (Type 1) AGNs but each with a heavily obscured
accretion disk. We would therefore expect the optical continuum emission from
Type 2 AGN to be composed mainly of stellar light and non-variable on the
time-scales of months to years. In this work we probe the spectroscopic
variability of galaxies and narrow-line AGNs using the multi-epoch data in the
Sloan Digital Sky Survey (SDSS) Data Release 6. The sample contains 18,435
sources for which there exist pairs of spectroscopic observations (with a
maximum separation in time of ~700 days) covering a wavelength range of
3900-8900 angstrom. To obtain a reliable repeatability measurement between each
spectral pair, we consider a number of techniques for spectrophotometric
calibration resulting in an improved spectrophotometric calibration of a factor
of two. From these data we find no obvious continuum and emission-line
variability in the narrow-line AGNs on average -- the spectroscopic variability
of the continuum is 0.07+/-0.26 mag in the g band and, for the emission-line
ratios log10([NII]/Halpha) and log10([OIII]/Hbeta), the variability is
0.02+/-0.03 dex and 0.06+/-0.08 dex, respectively. From the continuum
variability measurement we set an upper limit on the ratio between the flux of
varying spectral component, presumably related to AGN activities, and that of
host galaxy to be ~30%. We provide the corresponding upper limits for other
spectral classes, including those from the BPT diagram, eClass galaxy
classification, stars and quasars.


title:
Coisotropic Submanifolds, Leafwise Fixed Points, and Presymplectic
  Embeddings

abstract:
  Let $(M,\omega)$ be a geometrically bounded symplectic manifold, $N\subseteq
M$ a closed, regular (i.e. "fibering") coisotropic submanifold, and $\phi:M\to
M$ a Hamiltonian diffeomorphism. The main result of this article is that the
number of leafwise fixed points of $\phi$ is bounded below by the sum of the
$Z_2$-Betti numbers of $N$, provided that the Hofer distance between $\phi$ and
the identity is small enough and the pair $(N,\phi)$ is non-degenerate. The
bound is optimal if there exists a $Z_2$-perfect Morse function on $N$. A
version of the Arnol'd-Givental conjecture for coisotropic submanifolds is also
discussed. As an application, I prove a presymplectic non-embedding result.


title: The self-assembly and evolution of homomeric protein complexes

abstract:
  We introduce a simple "patchy particle" model to study the thermodynamics and
dynamics of self-assembly of homomeric protein complexes. Our calculations
allow us to rationalize recent results for dihedral complexes. Namely, why
evolution of such complexes naturally takes the system into a region of
interaction space where (i) the evolutionarily newer interactions are weaker,
(ii) subcomplexes involving the stronger interactions are observed to be
thermodynamically stable on destabilization of the protein-protein interactions
and (iii) the self-assembly dynamics are hierarchical with these same
subcomplexes acting as kinetic intermediates.


title:
Nonequilibrium fluctuations, fluctuation theorems, and counting
  statistics in quantum systems

abstract:
  Fluctuation theorems (FTs), which describe some universal properties of
nonequilibrium fluctuations, are examined from a quantum perspective and
derived by introducing a two-point measurement on the system. FTs for closed
and open systems driven out of equilibrium by an external time-dependent force,
and for open systems maintained in a nonequilibrium steady-state by
nonequilibrium boundary conditions, are derived from a unified approach.
Applications to fermion and boson transport in quantum junctions are discussed.
Quantum master equations and Green's functions techniques for computing the
energy and particle statistics are presented.


title:
Comment on arXiv:0811.1575 entitled "Quantum phase transitions in the
  Hubbard model on triangular lattice" by T. Yoshioka, A. Koga and N. Kawakami

abstract:
  We show that the phase boundary between the paramagnetic metal and the
nonmagnetic Mott insulator for the Hubbard model on a triangular lattice
obtained by Yoshioka et al. in arXiv:0811.1575 does not correctly represent
that of the thermodynamic limit but is an artifact of the 6 by 6 lattice they
rely on. After the system size extrapolation, the phase boundary is located at
U/t=5.2 as proposed by Morita et al., J. Phys. Soc. Jpn. 71 (2008) 2109 and in
contrast to Yoshioka et al. Here, U is the onsite Coulomb repulsion and t is
the nearest-neighbor transfer.


title: Unitarity in Technicolor

abstract:
  We investigate the longitudinal $WW$ scattering in models of dynamical
electroweak symmetry breaking featuring a spin one axial and vector state and a
composite Higgs. We also investigate the effects of a composite spin two state
which has the same properties of a massive graviton. Any model of dynamical
electroweak symmetry breaking will feature, depending on the dynamics, some or
all these basic resonances as part of the low energy spectrum. We suggest how
to take limits in the effective Lagrangian parameter space to reproduce the
dynamics of different types of underlying gauge theories, from the traditional
Technicolor models to the newest ones featuring nearly conformal dynamics. We
study the direct effects of a light composite Higgs and the indirect ones
stemming from the presence of a light axial resonance on the longitudinal $WW$
scattering.


title:
Continuum versus discrete flux behaviour in large mesoscopic
  Bi(2)Sr(2)CaCu(2)O(8+delta) disks

abstract:
  Scanning Hall probe and local Hall magnetometry measurements have been used
to investigate flux distributions in large mesoscopic superconducting disks
with sizes that lie near the crossover between the bulk and mesoscopic vortex
regimes. Results obtained by directly mapping the magnetic induction profiles
of the disks at different applied fields can be quite successfully fitted to
analytic models which assume a continuous distribution of flux in the sample.
At low fields, however, we do observe clear signatures of the underlying
discrete vortex structure and can resolve the characteristic mesoscopic
compression of vortex clusters in increasing magnetic fields. Even at higher
fields, where single vortex resolution is lost, we are still able to track
configurational changes in the vortex patterns, since competing vortex orders
impose unmistakable signatures on "local" magnetisation curves as a function of
the applied field. Our observations are in excellent agreement with molecular
dynamics numerical simulations which lead us to a natural definition of the
lengthscale for the crossover between discrete and continuum behaviours in our
system.


title: Ising-like dynamics in large-scale functional brain networks

abstract:
  Brain "rest" is defined -more or less unsuccessfully- as the state in which
there is no explicit brain input or output. This work focuss on the question of
whether such state can be comparable to any known \emph{dynamical} state. For
that purpose, correlation networks from human brain Functional Magnetic
Resonance Imaging (fMRI) are constrasted with correlation networks extracted
from numerical simulations of the Ising model in 2D, at different temperatures.
For the critical temperature $T_c$, striking similarities appear in the most
relevant statistical properties, making the two networks indistinguishable from
each other. These results are interpreted here as lending support to the
conjecture that the dynamics of the functioning brain is near a critical point.


title: The Torsion of Homology Groups of M(E,I)-sets

abstract:
  We consider the torsion of homology groups of right pointed sets over a
partially commutative monoid M(E,I)


title:
Tight Approximation Ratio of a General Greedy Splitting Algorithm for
  the Minimum k-Way Cut Problem

abstract:
  For an edge-weighted connected undirected graph, the minimum $k$-way cut
problem is to find a subset of edges of minimum total weight whose removal
separates the graph into $k$ connected components. The problem is NP-hard when
$k$ is part of the input and W[1]-hard when $k$ is taken as a parameter.
  A simple algorithm for approximating a minimum $k$-way cut is to iteratively
increase the number of components of the graph by $h-1$, where $2 \le h \le k$,
until the graph has $k$ components. The approximation ratio of this algorithm
is known for $h \le 3$ but is open for $h \ge 4$.
  In this paper, we consider a general algorithm that iteratively increases the
number of components of the graph by $h_i-1$, where $h_1 \le h_2 \le ... \le
h_q$ and $\sum_{i=1}^q (h_i-1) = k-1$. We prove that the approximation ratio of
this general algorithm is $2 - (\sum_{i=1}^q {h_i \choose 2})/{k \choose 2}$,
which is tight. Our result implies that the approximation ratio of the simple
algorithm is $2-h/k + O(h^2/k^2)$ in general and $2-h/k$ if $k-1$ is a multiple
of $h-1$.


title: Stable-Range Approach to Short Wave and Khokhlov-Zabolotskaya Equations

abstract:
  Short wave equations were introduced in connection with the nonlinear
reflection of weak shock waves. They also relate to the modulation of a
gas-fluid mixture. Khokhlov-Zabolotskaya equation are used to describe the
propagation of a diffraction sound beam in a nonlinear medium. We give a new
algebraic method of solving these equations by using certain finite-dimensional
stable range of the nonlinear terms and obtain large families of new explicit
exact solutions parameterized by several functions for them. These parameter
functions enable one to find the solutions of some related practical models and
boundary value problems.

categories: math-ph math.AP math.MP nlin.SI physics.flu-dyn


title:
Adhesion-induced lateral phase separation of multi-component membranes:
  the effect of repellers and confinement

abstract:
  We present a theoretical study for adhesion-induced lateral phase separation
for a membrane with short stickers, long stickers and repellers confined
between two hard walls. The effects of confinement and repellers on lateral
phase separation are investigated. We find that the critical potential depth of
the stickers for lateral phase separation increases as the distance between the
hard walls decreases. This suggests confinement-induced or force-induced mixing
of stickers. We also find that stiff repellers tend to enhance, while soft
repellers tend to suppress adhesion-induced lateral phase separation.


title:
Configuration space integrals for embedding spaces and the Haefliger
  invariant

abstract:
  Let K be the space of long j-knots in R^n. In this paper we introduce a graph
complex D and a linear map I from D to the de Rham complex of K via
configuration space integral, and prove that (1) when both n>j>=3 are odd, the
map I is a cochain map if restricted to graphs with at most one loop component,
(2) when n-j>=2 is even, the map I is a cochain map if restricted to tree
graphs, and (3) when n-j >=3 is odd, the map I added a correction term produces
a (2n-3j-3)-cocycle of K which gives a new formulation of the Haefliger
invariant when n=6k, j=4k-1 for some k.


title:
Algebraic Approaches to the geopotential Forecast and Nonlinear MHD
  Equations

abstract:
  In this paper, we use various anstazes motivated from our earlier works on
transonic gas flows, boundary layer problems and Navier-Stokes equations to
find new explicit exact solutions with multiple parameter functions for the
equation of geopotential forecast and the equations of nonlinear
magnetohydrodynamics.


title:
New Samarium and Neodymium based admixed ferromagnets with near zero net
  magnetization and tunable exchange bias field

abstract:
  Rare earth based intermetallics, SmScGe and NdScGe, are shown to exhibit near
zero net magnetization with substitutions of 6 to 9 atomic percent of Nd and 25
atomic percent of Gd, respectively. The notion of magnetic compensation in them
is also elucidated by the crossover of zero magnetization axis at low magnetic
fields (less than 103 Oe) and field-induced reversal in the orientation of the
magnetic moments of the dissimilar rare earth ions at higher magnetic fields.
These magnetically ordered materials with no net magnetization and appreciable
conduction electron polarization display an attribute of an exchange bias
field, which can be tuned. The attractively high magnetic ordering temperatures
of about 270 K, underscore the importance of these materials for potential
applications in spintronics.


title:
Modulation theory for self-focusing in the nonlinear
  Schr\"{o}dinger-Helmholtz equation

abstract:
  The nonlinear Schr\"{o}dinger-Helmholtz (SH) equation in $N$ space dimensions
with $2\sigma$ nonlinear power was proposed as a regularization of the
classical nonlinear Schr\"{o}dinger (NLS) equation. It was shown that the SH
equation has a larger regime ($1\le\sigma<\frac{4}{N}$) of global existence and
uniqueness of solutions compared to that of the classical NLS
($0<\sigma<\frac{2}{N}$). In the limiting case where the
Schr\"{o}dinger-Helmholtz equation is viewed as a perturbed system of the
classical NLS equation, we apply modulation theory to the classical critical
case ($\sigma=1,\:N=2$) and show that the regularization prevents the formation
of singularities of the NLS equation. Our theoretical results are supported by
numerical simulations


title:
The influence of multiple stars on the high-mass stellar initial mass
  function and age-dating of young massive star clusters

abstract:
  The study of young stellar populations has revealed that most stars are in
binary or higher order multiple systems. In this study the influence on the
stellar initial mass function (IMF) of large quantities of unresolved multiple
massive stars is investigated by taking into account stellar evolution and
photometrically determined system masses. The models where initial masses are
derived from the luminosity and colour of unresolved multiple systems show that
even under extreme circumstances (100% binaries or higher order multiples) the
difference between the power-law index of the mass function of all stars and
the observed mass function is small (~0.1). Thus, if the observed IMF has the
Salpeter index alpha = 2.35 then the true stellar IMF has an index not flatter
than alpha = 2.25. Additionally, unresolved multiple systems may hide between
15 and 60% of the underlying true mass of a star cluster. While already a known
result, it is important to point out that the presence of a large number of
unresolved binaries amongst pre-main-sequence (PMS) stars induces a significant
spread in the measured ages of these stars even if there is none. Also,
lower-mass stars in a single-age binary-rich cluster appear older than the
massive stars by about 0.6 Myr.


title: Skyrmions at finite density and temperature: the chiral phase transition

abstract:
  The Skyrme model, an effective low energy theory rooted in large $N_c$ QCD,
has been applied to the study of dense matter. Matter is described by various
crystal structures of skyrmions. When this system is heated, the dominating
thermal degrees of freedom are the fluctuating pions. Taking these mechanisms
jointly produces a description of the chiral phase transition leading to the
conventional phase diagram with critical temperatures and densities in
agreement with expected values.


title:
Time-Resolved Near-Infrared Photometry of Extreme Kuiper Belt Object
  Haumea

abstract:
  We present time-resolved near-infrared (J and H) photometry of the extreme
Kuiper belt object (136108) Haumea (formerly 2003 EL61) taken to further
investigate rotational variability of this object. The new data show that the
near-infrared peak-to-peak photometric range is similar to the value at visible
wavelengths, \Delta m_R = 0.30+/-0.02 mag. Detailed analysis of the new and
previous data reveals subtle visible/near-infrared color variations across the
surface of Haumea. The color variations are spatially correlated with a
previously identified surface region, redder in B-R and darker than the mean
surface. Our photometry indicates that the J-H colors of Haumea
(J-H=-0.057+/-0.016 mag) and its brightest satellite Hi'iaka
(J-H=-0.399+/-0.034 mag) are significantly (>9 sigma) different. The satellite
Hi'iaka is unusually blue in J-H, consistent with strong 1.5 micron water-ice
absorption. The phase coefficient of Haumea in the J-band is found to increase
monotonically with wavelength in the range 0.4<lambda<1.3. We compare our
findings with other Solar system objects and discuss implications regarding the
surface of Haumea.


title: Distinction of some induced representations

abstract:
  Let $K/F$ be a quadratic extension of $p$-adic fields, $\sigma$ the
nontrivial element of the Galois group of $K$ over $F$, and $\pi$ a
quasi-square-integrable representation of $GL(n,K)$. Denoting by $\pi^{\vee}$
the smooth contragredient of $\pi$, and by $\pi^{\sigma}$ the representation
$\pi\circ \sigma$, we show that the representation of $GL(2n, K)$ obtained by
normalized parabolic induction of the representation $\pi^\vee \otimes
\pi^\sigma$ is distinguished with respect to $GL(2n,F)$. This is a step towards
the classification of distinguished generic representations of general linear
groups over $p$-adic fields.


title: Quantum error correction beyond qubits

abstract:
  Quantum computation and communication rely on the ability to manipulate
quantum states robustly and with high fidelity. Thus, some form of error
correction is needed to protect fragile quantum superposition states from
corruption by so-called decoherence noise. Indeed, the discovery of quantum
error correction (QEC) turned the field of quantum information from an academic
curiosity into a developing technology. Here we present a continuous-variable
experimental implementation of a QEC code, based upon entanglement among 9
optical beams. In principle, this 9-wavepacket adaptation of Shor's original
9-qubit scheme allows for full quantum error correction against an arbitrary
single-beam (single-party) error.


title: On an inequality related to the radial growth of subharmonic functions

abstract:
  It is a classical result that every subharmonic function, defined and
${\mathcal{L}}^p$-integrable for some $p$, $0<p<+\infty$, on the unit disk
$\mathbb{D}$ of the complex plane ${\mathbb{C}}$ is for almost all $\theta$ of
the form $o((1-| z|)^{-1/p})$, uniformly as $z\to e^{i\theta}$ in any Stolz
domain. Recently Pavlovi\'c gave a related integral inequality for absolute
values of harmonic functions, also defined on the unit disk in the complex
plane. We generalize Pavlovi\'c's result to so called quasi-nearly subharmonic
functions defined on rather general domains in ${\mathbb {R}}^n$, $n\geq 2$.


title:
Density-matrix theory of the optical dynamics and transport in quantum
  cascade structures: The role of coherence

abstract:
  The impact of coherence on the nonlinear optical response and stationary
transport is studied in quantum cascade laser structures. Nonequilibrium
effects such as pump-probe signals, the spatio-temporally resolved electron
density evolution, and the subband population dynamics (Rabi flopping) as well
as the stationary current characteristics are investigated within a microscopic
density-matrix approach. Focusing on the stationary current and the recently
observed gain oscillations, it is found that the inclusion of coherence leads
to observable coherent effects in opposite parameter regimes regarding the
relation between the level broadening and the tunnel coupling across the main
injection barrier. This shows that coherence plays a complementary role in
stationary transport and nonlinear optical dynamics in the sense that it leads
to measurable effects in opposite regimes. For this reason, a fully coherent
consideration of such nonequilibrium structures is necessary to describe the
combined optical and transport properties


title: On the shape of a rapid hadron in QCD

abstract:
  We visualize the fundamental property of pQCD: the smaller size of the
colorless quark-gluon configurations leads to a more rapid increase of its
interaction with energy. Within the frame of dipole model we use the $k_t$
factorization theorem to generalize the DGLAP approximation and/or leading
$\ln(x_0/x)$ approximation and evaluate the interaction of quark dipole with a
target. In the limit of fixed $Q^2$ and $x\to 0$ we found the increase with
energy of transverse momenta of quark(antiquark) within q$\bar q$ pair produced
by strongly virtual photon. The average $p^2_t$ is evaluated analytically
within the double logarithmic approximation. We demonstrate that the invariant
mass$^2$ of the q$\bar q$ pair increases with the energy as
$M^2_0(x_0/x)^{\lambda}$, where $\lambda\sim 0.4\alpha_sN_c/\pi$ for transverse
photons, and as $\sim M^2_0 \exp{0.17[(4\alpha_sN_c/\pi)\log(x_0/x)]^{1/2}}$
for longitudinal photons, where $M^2_0 \approx 0.7Q^2$ at the energies of the
order $s_0\sim 10^4$ GeV$^2$ ($x_0\sim 10^{-2}$). The magnitude of the effect
depends strongly on the small $x$ behavior of the gluon distribution. Similar
pattern of the energy dependence of $M^2$ is found in the LO DGLAP
approximation generalized to account for $k_t$ factorization. We discuss the
impact of the found phenomenon on the dependence of the coherence length on the
initial energy and demonstrate that the shape of final hadron state in DIS has
biconcave form instead of pancake. Some implications of the found phenomena for
the hard processes in pp collisions are discussed.


title: On normal Hopf subalgebras of semisimple Hopf algebras

abstract:
  A criterion for subcoalgebras to be invariant under the adjoint action is
given generalizing Masuoka's criterion for normal Hopf subalgebras. At the
level of characters, the image of the induction functor from a normal Hopf
subalgebra is isomorphic to the image of the restriction functor.


title: Nonlocal Entanglement Transformations Achievable by Separable Operations

abstract:
  For manipulations of multipartite quantum systems, it was well known that all
local operations assisted by classical communication (LOCC) constitute a proper
subset of the class of separable operations. Recently, Gheorghiu and Griffiths
found that LOCC and general separable operations are equally powerful for
transformations between bipartite pure states. In this letter we extend this
comparison to mixed states and show that in general separable operations are
strictly stronger than LOCC when transforming a mixed state to a pure entangled
state. A remarkable consequence of our finding is the existence of entanglement
monotone which may increase under separable operations.


title: Quaternionic Kahler spaces with large toric symmetry

abstract:
  We consider a general 4n-dimensional quaternionic Kahler geometry with a free
action of the torus T^(n+1). The toric action lifts onto the Swann bundle of
the quaternionic Kahler space to a tri-holomorphic action that commutes with
the standard H* action on the bundle. By matching Pedersen and Poon's
generalized Gibbons-Hawking Ansatz description of the total space with the
Swann picture we extract the local geometry of the quaternionic Kahler base.
Specifically, we obtain explicit expressions for the quaternionic Kahler metric
and Sp(1) connection in terms of a set of reduced Higgs fields and connection
1-forms that satisfy a reduced Bogomol'nyi-type equation. We find, moreover,
that these Higgs fields can be derived from a single function V satisfying a
system of linear second-order partial differential constraints. In four
dimensions, corresponding to the case of self-dual Einstein manifolds with two
commuting Killing vector fields, our formulas coincide with those obtained
through a different approach by Calderbank and Pedersen. Finally, we show how
to construct explicit solutions to the reduced Bogomol'nyi and V equations by
means of Lindstrom and Rocek's generalized Legendre transform construction for
a large class of quaternionic Kahler manifolds related to the c-map.


title:
Time-like lorentzian minimal submanifolds as singular limits of
  nonlinear wave equations

abstract:
  We consider the sharp interface limit $\epsilon \to 0$ of the semilinear wave
equation $u_{tt} - \Delta u + \nabla W(u)/ \epsilon^2 = 0$ in $\mathbf
R^{1+n}$, where $u$ takes values in $\mathbf R^k$, $k = 1,2$, and $W$ is a
double-well potential if $k = 1$ and vanishes on the unit circle and is
positive elsewhere if $k = 2$. For fixed $\epsilon > 0$ we find some special
solutions, constructed around minimal surfaces in $\mathbf R^n$. In the general
case, under some additional assumptions, we show that the solutions converge to
a Radon measure supported on a time-like $k$-codimensional minimal submanifold
of the Minkowski space-time. This result holds also after the appearence of
singularities, and enforces the observation made by J. Neu that this semilinear
equation can be regarded as an approximation of the Born-Infeld equation.


title:
An explicit d-bar-integration formula for weighted homogeneous varieties
  II: forms of higher degree

abstract:
  Let Y be a weighted homogeneous (singular) subvariety of C^n. The main
objective of this paper is to present a class of explicit integral formulae for
solving the d-bar-equation $\omega=\dbar\lambda$ on the regular part of Y,
where $\omega$ is a d-bar-closed (0,q)-form with compact support and degree
q>=1. Particular cases of these formulae yield L^p-bounded solution operators
for $1<=p<=\infty$ if Y is a homogeneous and pure dimensional subvariety with
an arbitrary singular locus.


title: Quantitative Measurements of CME-driven Shocks from LASCO Observations

abstract:
  In this paper, we demonstrate that CME-driven shocks can be detected in white
light coronagraph images and in which properties such as the density
compression ratio and shock direction can be measured. Also, their propagation
direction can be deduced via simple modeling. We focused on CMEs during the
ascending phase of solar cycle 23 when the large-scale morphology of the corona
was simple. We selected events which were good candidates to drive a shock due
to their high speeds (V>1500 km/s). The final list includes 15 CMEs. For each
event, we calibrated the LASCO data, constructed excess mass images and
searched for indications of faint and relatively sharp fronts ahead of the
bright CME front. We found such signatures in 86% (13/15) of the events and
measured the upstream/downstream densities to estimate the shock strength. Our
values are in agreement with theoretical expectations and show good
correlations with the CME kinetic energy and momentum. Finally, we used a
simple forward modeling technique to estimate the 3D shape and orientation of
the white light shock features. We found excellent agreement with the observed
density profiles and the locations of the CME source regions. Our results
strongly suggest that the observed brightness enhancements result from density
enhancements due to a bow-shock structure driven by the CME.


title: Gamma-ray and radio tests of the e+e- excess from DM annihilations

abstract:
  PAMELA and ATIC recently reported an excess in e+e- cosmic rays. We show that
if it is due to Dark Matter annihilations, the associated gamma-ray flux and
the synchrotron emission produced by e+e- in the galactic magnetic field
violate HESS and radio observations of the galactic center and HESS
observations of dwarf Spheroidals, unless the DM density profile is
significantly less steep than the benchmark NFW and Einasto profiles.


title:
On the singular spectrum for adiabatic quasi-periodic Schr\"odinger
  Operators

abstract:
  In this paper we study spectral properties of a family of quasi-periodic
Schr\"odinger operators on the real line in the adiabatic limit. We assume that
the adiabatic iso-energetic curve has a real branch that is extended along the
momentum direction. In the energy intervals where this happens, we obtain an
asymptotic formula for the Lyapunov exponent and show that the spectrum is
purely singular. This result was conjectured and proved in a particular case by
Fedotov and Klopp in \cite{FEKL1}.


title:
A Real Space Description of Field Induced Melting in the Charge Ordered
  Manganites: II. the Disordered Case

abstract:
  We study the effect of A site disorder on magnetic field induced melting of
charge order (CO) in half doped manganites using a Monte-Carlo technique.
Strong A-site disorder destroys CO even without an applied field. At moderate
disorder, the zero field CO state survives but has several intriguing features
in its field response. Our spatially resolved results track the broadening of
the field melting transition due to disorder and explain the unusual dependence
of the melting scales on bandwidth and disorder. In combination with our
companion paper on field melting of charge order in clean systems we provide an
unified understanding of CO melting across all half doped manganites.


title: Dependence of Interstellar Turbulent Pressure on Supernova Rate

abstract:
  Feedback from massive stars is one of the least understood aspects of galaxy
formation. We perform a suite of vertically stratified local interstellar
medium (ISM) simulations in which supernova rates and vertical gas column
densities are systematically varied based on the Schmidt-Kennicutt law. Our
simulations have a sufficiently high spatial resolution (1.95 pc) to follow the
hydrodynamic interactions among multiple supernovae that structure the ISM. At
a given supernova rate, we find that the mean mass-weighted sound speed and
velocity dispersion decrease as the inverse square root of gas density,
indicating that both thermal and turbulent pressures are nearly constant in the
midplane, so the effective equation of state is isobaric. In contrast, across
our four models having supernova rates that range from one to 512 times the
Galactic supernova rate, the mass-weighted velocity dispersion remains in the
range 4-6 km/s. Hence, gas averaged over ~100 pc regions follows an effective
equation of state that is close to isothermal. Simulated H I emission lines
have widths of 10-18 km/s, comparable to observed values. In our highest
supernova rate model, superbubble blow-outs occur, and the turbulent pressure
on large scales is >~4 times higher than the thermal pressure. We find a tight
correlation between the thermal and turbulent pressures averaged over ~100 pc
regions in the midplane of each model, as well as across the four ISM models.
We construct a subgrid model for turbulent pressure based on analytic arguments
and explicitly calibrate it against our stratified ISM simulations. The subgrid
model provides a simple yet physically motivated way to include supernova
feedback in cosmological simulations.


title: Covariant Light-Front Approach for $B_c$ transition form factors

abstract:
  In the covariant light-front quark model, we investigate the form factors of
$B_c$ decays into $D, D^*, D_s, D_s^*, \eta_c, J/\psi, B, B^*, B_s, B_s^*$
mesons. The form factors in the spacelike region $q^2<0$ are directly
evaluated. To extrapolate the form factors to the full kinematic region, we fit
the form factors by adopting a three-parameter form from the spacelike region.
$b\to u,d,s$ transition form factors at maximally recoiling point ($q^2=0$) are
smaller than $b\to c$ and $c\to d,s$ transition form factors, while the $b\to
d,s,c$ form factors at zero recoiling point are close to each other. In the
fitting procedure, we find the parameters for the form factors $A_2(B_c\to
B^*)$ and $A_2(B_c\to B^*_s)$ strongly depend on the decay constants of $B^*$
and $B_s^*$ mesons. Fortunately, the semileptonic and nonleptonic $B_c$ decays
are not sensitive to these form factors. With the form factors, we also
investigate the branching fractions, polarizations of the semileptonic $B_c\to
Ml\nu$ decays. Semileptonic $B_c\to (\eta_c,J/\psi)l\nu$ and $B_c\to
(B_s,B_s^*)l\nu$ decays have much larger branching fractions than $B_c\to
(D,D^*,B,B^*)l\nu$. In the three kinds of $B_c\to Vl\nu$ decays, contributions
from the longitudinal polarized vector is comparable with those from the
transversely polarized vector. These predictions will be tested at the ongoing
and forthcoming hadron colliders.


title: Quantile hedging for an insider

abstract:
  In this paper we consider the problem of the quantile hedging from the point
of view of a better informed agent acting on the market. The additional
knowledge of the agent is modelled by a filtration initially enlarged by some
random variable. By using equivalent martingale measures introduced in
Amendinger (2000) and Amendinger, Imkeller and Schweizer (1998) we solve the
problem for the complete case, by extending the results obtained in F{\"o}llmer
and Leukert (1999) to the insider context. Finally, we consider the examples
with the explicit calculations within the standard Black-Scholes model.


title:
A note on a composition of two random integral mappings $\J^\be$ and
  some examples

abstract:
  A method of random integral representation, that is, a method of representing
a given probability measure as the probability distribution of some random
integral, was quite successful in the past few decades. In this note we show
that a composition of two random integral mappings $\J^\be$ is again a random
integral mapping. We illustrate our results on some examples.


title:
Extinction of quasiparticle interference in underdoped cuprates with
  coexisting order

abstract:
  Recent scanning tunnelling spectroscopy measurements [Y. Koksaka et al.,
Nature 454, 1072 (2008)] have shown that dispersing quasiparticle interference
peaks in Fourier transformed conductance maps disappear as the bias voltage
exceeds a certain threshold corresponding to the coincidence of the contour of
constant quasiparticle energy with the antiferromagnetic zone boundary. Here we
argue that this is caused by quasistatic short-range coexisting order present
in the d-wave superconducting phase, and that the most likely origin of this
order is disorder-induced incommensurate antiferromagnetism. We show explicitly
how the peaks are extinguished in the related situation with coexisting
long-range antiferromagnetic order, and discuss the connection with the
realistic disordered case. Since it is the localized quasiparticle interference
peaks rather than the underlying antinodal states themselves which are
destroyed at a critical bias, our proposal resolves a conflict between scanning
tunneling spectroscopy and photoemission regarding the nature of these states.


title: A calculus on L\'evy exponents and selfdecomposability on Banach spaces

abstract:
  In infinite dimensional Banach spaces there is no complete characterization
of the L\'evy exponents of infinitely divisible probability measures. Here we
propose \emph{a calculus on L\'evy exponents} that is derived from some random
integrals. As a consequence we prove that \emph{each} selfdecomposable measure
can by factorized as another selfdecomposable measure and its background
driving measure that is s-selfdecomposable. This complements a result from the
paper of Iksanov-Jurek-Schreiber in the Annals of Probability \textbf{32},
2004.}


title: Coleman-de Luccia Tunneling and the Gibbons-Hawking Temperature

abstract:
  We study Coleman-de Luccia tunneling in some detail. We show that, for a
single scalar field potential with a true and a false vacuum, there are four
types of tunneling, depending on the properties of the potential. A general
tunneling process involves a combination of thermal (Gibbons-Hawking
temperature) fluctuation part way up the barrier followed by quantum tunneling.
The thin-wall approximation is a special limit of the case (of only quantum
tunneling) where inside the nucleation bubble is the true vacuum while the
outside reaches the false vacuum. Hawking-Moss tunneling is the (only thermal
fluctuation) limit of the case where the inside of the bubble does not reach
the true vacuum at the moment of its creation, and the outside is cut off by
the de Sitter horizon before it reaches the false vacuum. We estimate the
corrections to the Hawking-Moss formula, which can be large. In all cases, we
see that the bounce of the Euclidean action decreases rapidly as the vacuum
energy density increases, signaling that the tunneling is not exponentially
suppressed. In some sense, this phenomenon may be interpreted as a finite
temperature effect due to the Gibbons-Hawking temperature of the de Sitter
space. As an application, we discuss the implication of this tunneling property
to the cosmic landscape.


title:
Smeared quantum phase transition in the dissipative random quantum Ising
  model

abstract:
  We investigate the quantum phase transition in the random transverse-field
Ising model under the influence of Ohmic dissipation. To this end, we
numerically implement a strong-disorder renormalization-group scheme. We find
that Ohmic dissipation destroys the quantum critical point and the associated
quantum Griffiths phase by smearing. Our results quantitatively confirm a
recent theory [Phys. Rev. Lett. {\bf 100}, 240601 (2008)] of smeared quantum
phase transitions.


title: Quantum Symmetries and Marginal Deformations

abstract:
  We study the symmetries of the N=1 exactly marginal deformations of N=4 Super
Yang-Mills theory. For generic values of the parameters, these deformations are
known to break the SU(3) part of the R-symmetry group down to a discrete
subgroup. However, a closer look from the perspective of quantum groups reveals
that the Lagrangian is in fact invariant under a certain Hopf algebra which is
a non-standard quantum deformation of the algebra of functions on SU(3). Our
discussion is motivated by the desire to better understand why these theories
have significant differences from N=4 SYM regarding the planar integrability
(or rather lack thereof) of the spin chains encoding their spectrum. However,
our construction works at the level of the classical Lagrangian, without
relying on the language of spin chains. Our approach might eventually provide a
better understanding of the finiteness properties of these theories as well as
help in the construction of their AdS/CFT duals.


title:
Analytical Collapsing Solutions to Pressureless Navier-Stokes-Poisson
  Equations with Density-dependent Viscosity $\theta=1/2$ in $R^{2}$

abstract:
  We study the 2-dimensional Navier-Stokes-Poisson equations with
density-dependent viscosity $\theta=1/2$ without pressure of gaseous stars in
astrophysics. The analytical solutions with collapsing in radial symmetry, are
constructed in this paper.


title:
von Neumann entropy and on-site localization for perpetually coupled
  qubits

abstract:
  We used the von Neumann entropy to study the single and many-particle on-site
localizations of stationary states for an anisotropic Heisenberg spin-1/2
chain. With a constructed bounded sequence of on-site energies for single and
many-particle systems we demonstrate that the von Neumann entropy approaches
zero indicating strong on-site localizations for all states. On the contrary,
random on-site energy sequence does not lead to strong on-site confinement of
all states. Our numerical results indicate that the von Neumann entropy
provides a new insight to analyze on-site localizations for these systems.


title:
Exact properties of Frobenius numbers and fraction of the symmetric
  semigroups in the weak limit for n=3

abstract:
  We generalize and prove a hypothesis by V. Arnold on the parity of Frobenius
number. For the case of symmetric semigroups with three generators of Frobenius
numbers we found an exact formula, which in a sense is the sum of two
Sylvester's formulaes. We prove that the fraction of the symmetric semigroups
is vanishing in the weak limit.


title: The energy production rate & the generation spectrum of UHECRs

abstract:
  We derive simple analytic expressions for the flux and spectrum of ultra-high
energy cosmic-rays (UHECRs) predicted in models where the CRs are protons
produced by extra-Galactic sources. For a power-law scaling of the CR
production rate with redshift and energy, d\dot{n} /dE\propto E^-\alpha
(1+z)^m, our results are accurate at high energy, E>10^18.7 eV, to better than
15%, providing a simple and straightforward method for inferring d\dot{n}/dE
from the observed flux at E. We show that current measurements of the UHECR
spectrum, including the latest Auger data, imply
E^2d\dot{n}/dE(z=0)=(0.45\pm0.15)(\alpha-1) 10^44 erg Mpc^-3 yr^-1 at E<10^19.5
eV with \alpha roughly confined to 2\lesseq\alpha<2.7. The uncertainty is
dominated by the systematic and statistic errors in the experimental
determination of individual CR event energy, (\Delta E/E)_{sys} (\Delta
E/E)_{stat} ~20%. At lower energy, d\dot{n}/dE is uncertain due to the unknown
Galactic contribution. Simple models in which \alpha\simeq 2 and the transition
from Galactic to extra-Galactic sources takes place at the "ankle", E ~10^19
eV, are consistent with the data. Models in which the transition occurs at
lower energies require a high degree of fine tuning and a steep spectrum,
\alpha\simeq 2.7, which is disfavored by the data. We point out that in the
absence of accurate composition measurements, the (all particle) energy
spectrum alone cannot be used to infer the detailed spectral shapes of the
Galactic and extra-Galactic contributions.


title: Communication Efficiency in Self-stabilizing Silent Protocols

abstract:
  Self-stabilization is a general paradigm to provide forward recovery
capabilities to distributed systems and networks. Intuitively, a protocol is
self-stabilizing if it is able to recover without external intervention from
any catastrophic transient failure. In this paper, our focus is to lower the
communication complexity of self-stabilizing protocols \emph{below} the need of
checking every neighbor forever. In more details, the contribution of the paper
is threefold: (i) We provide new complexity measures for communication
efficiency of self-stabilizing protocols, especially in the stabilized phase or
when there are no faults, (ii) On the negative side, we show that for
non-trivial problems such as coloring, maximal matching, and maximal
independent set, it is impossible to get (deterministic or probabilistic)
self-stabilizing solutions where every participant communicates with less than
every neighbor in the stabilized phase, and (iii) On the positive side, we
present protocols for coloring, maximal matching, and maximal independent set
such that a fraction of the participants communicates with exactly one neighbor
in the stabilized phase.


title:
Hydrodynamics and perfect fluids: uniform description of soft
  observables in Au+Au collisions at RHIC

abstract:
  It is argued that the use of the initial Gaussian energy density profile for
hydrodynamics leads to much better uniform description of the RHIC heavy-ion
data than the use of the standard initial condition obtained from the Glauber
model. With the modified Gaussian initial conditions we successfully reproduce
the transverse-momentum spectra, v2, and the pionic HBT radii (including their
azimuthal dependence). The emerging consistent picture of hadron production
hints that a solution of the long standing RHIC HBT puzzle has been found.


title: The quantum optical Josephson interferometer

abstract:
  The interplay between coherent tunnel coupling and on-site interactions in
dissipation-free bosonic systems has lead to many spectacular observations,
ranging from the demonstration of number-phase uncertainty relation to quantum
phase transitions. To explore the effect of dissipation and coherent drive on
tunnel coupled interacting bosonic systems, we propose a device that is the
quantum optical analog of a Josephson interferometer. It consists of two
coherently driven linear optical cavities connected via a central cavity with a
single-photon nonlinearity. The Josephson-like oscillations in the light
emitted from the central cavity as a function of the phase difference between
two pumping fields can be suppressed by increasing the strength of the
nonlinear coupling. Remarkably, we find that in the limit of ultra-strong
interactions in the center-cavity, the coupled system maps on to an effective
Jaynes-Cummings system with a nonlinearity determined by the tunnel coupling
strength. In the limit of a single nonlinear cavity coupled to two linear
waveguides, the degree of photon antibunching from the nonlinear cavity
provides an excellent measure of the transition to the nonlinear regime where
Josephson oscillations are suppressed.


title: Spectral properties of orbital polarons in Mott insulators

abstract:
  We address the spectral properties of Mott insulators with orbital degrees of
freedom, and investigate cases where the orbital symmetry leads to Ising-like
superexchange in the orbital sector. The paradigm of a hole propagating by its
coupling to quantum fluctuations, known from the spin t-J model, then no longer
applies. We find instead that when one of the two orbital flavors is immobile,
as in the Falicov-Kimball model, trapped orbital polarons coexist with free
hole propagation emerging from the effective three-site hopping in the regime
of large on-site Coulomb interaction U. The spectral functions are found
analytically in this case within the retraceable path approximation in one and
two dimensions. On the contrary, when both of the orbitals are active, as in
the model for $t_{2g}$ electrons in two dimensions, we find propagating
polarons with incoherent scattering dressing the moving hole and renormalizing
the quasiparticle dispersion. Here, the spectral functions, calculated using
the self-consistent Born approximation, are anisotropic and depend on the
orbital flavor. Unbiased conclusions concerning the spectral properties are
established by comparing the above results for the orbital t-J models with
those obtained using the variational cluster approximation or exact
diagonalization for the corresponding Hubbard models. The present work makes
predictions concerning the essential features of photoemission spectra of
certain fluorides and vanadates.


title: Boson stars in the centre of galaxies?

abstract:
  We investigate the possible gravitational redshift values for boson stars
with a self-interaction, studying a wide range of possible masses. We find a
limiting value of z_lim \simeq 0.687 for stable boson star configurations. We
can exclude the direct observation of boson stars. X-ray spectroscopy is
perhaps the most interesting possibility.


title: Reiter's polaron wavefunction applied to a $t_{2g}$ orbital t-J model

abstract:
  Using the self-consistent Born approximation we calculate Reiter's
wavefunction for a single hole introduced into the undoped and orbitally
ordered ground state of the t-J model with $t_{2g}$ orbital degrees of freedom.
While the number of excitations is similar to the spin t-J model for a given
J/t, a distinct structure of the calculated wavefunction and its momentum
dependence is identified suggesting the formation of a novel type of mobile
polarons.


title:
Centrality dependence of strangeness production in heavy-ion collisions
  as a geometrical effect of core-corona superposition

abstract:
  It is shown that data on strange particle production as a function of
centrality in Au-Au collisions at \sqrt(s)_{NN}= 200 GeV can be explained with
a superposition of emission from a hadron gas at full chemical equilibrium
(core) and from nucleon-nucleon collisions at the boundary (corona) of the
overlapping region of the two colliding nuclei. This model nicely accounts for
the enhancement of phi meson and strange particle production as a function of
centrality observed in relativistic heavy ion collisions at that energy. The
enhancement is mainly a geometrical effect, that is the increasing weight of
the core with respect to corona for higher centrality, while strangeness
canonical suppression in the core seems to play a role only in very peripheral
collisions. This model, if confirmed at lower energy, would settle the
long-standing problem of strangeness under-saturation in relativistic heavy ion
collisions, parametrized by $\gs$. Furthermore, it would give a unique tool to
locate the onset of deconfinement in nuclear collisions both as a function of
energy and centrality if this is to be associated to the onset of the formation
of a fully equilibrated core.


title: On Field-Induced Quantum Criticality in YbRh_{2}Si_[2}

abstract:
  The quantum critical point (QCP) in $YbRh_{2}Si_{2}$ is an enigma for the
itinerant view of QCP. In an alternative view, this QCP is intimately linked to
the selective Mott localization of the heavy $f$ electrons. Following a perusal
of this unusual QCP, I study an Extended Periodic Anderson Model (EPAM) within
DMFT. A quantum phase transition (FQPT), accompanied by a rapid change in the
Fermi volume, is found near the quantum-critical end-point of the selective
Mott transition in the $f$-electron sector. The theory accounts for a wide
range of unusual, singular non-Fermi liquid features exhibited at this QCP in
$YbRh_{2}Si_{2}$ in a natural way.


title: X-ray follow-up observations of unidentified VHE gamma-ray sources

abstract:
  A large fraction of the recently discovered Galactic Very High Energy (VHE)
source population remains unidentified to date. VHE gamma-ray emission traces
high energy particles in these sources, but for example in case of hadronic
processes also the gas density at the emission site. Moreover, the particles
have sufficiently long lifetimes to be able to escape from their acceleration
sites. Therefore, the gamma-ray sources or at least the areas of maximum
surface brightness are in many cases spatially offset from the actual
accelerators. A promising way to identify the objects in which the particles
are accelerated seems to be to search for emission signatures of the
acceleration process (like emission from shock-heated plasma). Also the
particles themselves (through primary or secondary synchrotron emission) can be
traced in lower wavebands. Those signatures are best visible in the X-ray band,
and current X-ray observatories are well suited to conduct such follow-up
observations. Some aspects of the current status of these investigations are
reviewed.


title:
Limit theorems for p-variations of solutions of SDEs driven by additive
  non-Gaussian stable Levy noise

abstract:
  In this paper we study the asymptotic properties of the power variations of
stochastic processes of the type X=Y+L, where L is an alpha-stable Levy
process, and Y a perturbation which satisfies some mild Lipschitz continuity
assumptions. We establish local functional limit theorems for the power
variation processes of X. In case X is a solution of a stochastic differential
equation driven by L, these limit theorems provide estimators of the stability
index alpha. They are applicable for instance to model fitting problems for
paleo-climatic temperature time series taken from the Greenland ice core.


title:
Deep 15um AKARI observations in the CDFS: estimating dust luminosities
  for a MIR-selected sample and for Lyman Break Galaxies and the evolution of
  L(dust)/L(UV) with the redshift

abstract:
  Deep observations of the CDFS have been secured at 15um with AKARI/IRC
infrared space telescope (ESA open time). From these observations, we define a
sample of MIR-selected galaxies at 15um and we also obtain 15um flux densities
for a sample of LBGs at z=1 already observed at 24um with Spitzer/MIPS. Number
counts for the MIR-selected sample show a bump around a 15um flux density of
0.2mJy that can be attributed to galaxies at z>0.4 and at z>0.8 for the fainter
part of the bump. This bump seems to be shifted as compared to other works and
a possible origin can be the Cosmic variance. Thanks to this dataset, we have
tested, on the two above samples at z=1, the validity of the conversions from
monochromatic luminosities nu.f(nu) at a rest-frame wavelength of 8um by a
comparison with total dust luminosities estimated from Spitzer rest-frame 12um
data that we use as a reference. We find that the 8um dust luminosities are not
all consistent and that some of them are better when compared to L(dust)
evaluated from longer wavelength luminosities. We also find that the rest-frame
8um luminosities provide globally good estimates of L(dust). By comparing our
data for the two samples to several libraries of SEDs, we find that models can
explain the diversity of the observed f(24)/f(15) ratio quite reasonably for
the MIR-selected sample and better for the LBG sample which are less dispersed
than the MIR selection. However, when we analyse the luminosity dependence of
this ratio, we find important discrepancies. Finally, we revisit the evolution
of L(dust)/L(UV) ratio with the redshift z by re-calibrating previous L(dust)
at z=2 based on our results and added new data points at higher redshifts. The
decreasing trend is amplified as compared to the previous estimate.


title: Relaxed uncertainty relations and information processing

abstract:
  We consider a range of "theories" that violate the uncertainty relation for
anti-commuting observables derived in [JMP, 49, 062105 (2008)]. We first show
that Tsirelson's bound for the CHSH inequality can be derived from this
uncertainty relation, and that relaxing this relation allows for non-local
correlations that are stronger than what can be obtained in quantum mechanics.
We continue to construct a hierarchy of related non-signaling theories, and
show that on one hand they admit superstrong random access encodings and
exponential savings for a particular communication problem, while on the other
hand it becomes much harder in these theories to learn a state. We show that
the existence of these effects stems from the absence of certain constraints on
the expectation values of commuting measurements from our non-signaling
theories that are present in quantum theory.


title: What if Time Really Exists?

abstract:
  Despite the obvious utility of the concept, it has often been argued that
time does not exist. I take the opposite perspective: let's imagine that time
does exist, and the universe is described by a quantum state obeying ordinary
time-dependent quantum mechanics. Reconciling this simple picture with the
known facts about our universe turns out to be a non-trivial task, but by
taking it seriously we can infer deep facts about the fundamental nature of
reality. The arrow of time finds a plausible explanation in a "Heraclitean
universe," described by a quantum state eternally evolving in an
infinite-dimensional Hilbert space.


title:
Radiative decays of scalar mesons $f_0(980)$ and $a_0(980)$ into
  $\rho(\omega) \gamma$ in the local Nambu-Jona-Lasinio model

abstract:
  In the framework of the local Nambu-Jona-Lasinio model the radiative decay
widths of the scalar mesons $f_0(980)$ and $a_0(980)$ into $\rho\gamma$ and
$\omega \gamma$ are calculated. The contributions of the quark loops and the
meson loops are taken into account. For the radiative decays of the scalar
meson $f_0(980)$ the contribution of the meson loops plays the dominant role.
On the other side for the radiative decays of the scalar meson $a_0(980)$ the
main contribution is given by the quark loops.


title: On the probabilities of local behaviors in abelian field extensions

abstract:
  For a number field K and a finite abelian group G, we determine the
probabilities of various local completions of a random G-extension of K when
extensions are ordered by conductor. In particular, for a fixed prime p of K,
we determine the probability that p splits into r primes in a random
G-extension of K that is unramified at p. We find that these probabilities are
nicely behaved and mostly independent. This is in analogy to Chebotarev's
density theorem, which gives the probability that in a fixed extension a random
prime of K splits into r primes in the extension. We also give the asymptotics
for the number of G-extensions with bounded conductor. In fact, we give a class
of extension invariants, including conductor, for which we obtain the same
counting and probabilistic results. In contrast, we prove that that neither the
analogy with the Chebotarev probabilities nor the independence of probabilities
holds when extensions are ordered by discriminant.


title:
Unified model of fermion masses with Wilson line flavor symmetry
  breaking

abstract:
  We present a supersymmetric SU(5) GUT model with a discrete non-Abelian
flavor symmetry that is broken by Wilson lines. The model is formulated in 4+3
dimensions compactified on a manifold S^3/Z_n. Symmetry breaking by Wilson
lines is topological and allows to realize the necessary flavor symmetry
breaking without a vacuum alignment mechanism. The model predicts the
hierarchical pattern of charged fermion masses and quark mixing angles. Small
normal hierarchical neutrino masses are generated by the type-I seesaw
mechanism. The non-Abelian flavor symmetry predicts to leading order exact
maximal atmospheric mixing while the solar angle emerges from a variant of
quark-lepton complementarity. As a consequence, the resulting leptonic mixing
matrix is in excellent agreement with current data and could be tested in
future neutrino oscillation experiments.


title: Trace expansions for elliptic cone operators with stationary domains

abstract:
  We analyze the behavior of the trace of the resolvent of an elliptic cone
differential operator as the spectral parameter tends to infinity. The
resolvent splits into two components, one associated with the minimal extension
of the operator, and another, of finite rank, depending on the particular
choice of domain. We give a full asymptotic expansion of the first component
and expand the component of finite rank in the case where the domain is
stationary. The results make use, and develop further, our previous
investigations on the analytic and geometric structure of the resolvent. The
analysis of nonstationary domains, considerably more intricate, is pursued
elsewhere.


title:
The Relationship between Tsallis Statistics, the Fourier Transform, and
  Nonlinear Coupling

abstract:
  Tsallis statistics (or q-statistics) in nonextensive statistical mechanics is
a one-parameter description of correlated states. In this paper we use a
translated entropic index: $1 - q \to q$ . The essence of this translation is
to improve the mathematical symmetry of the q-algebra and make q directly
proportional to the nonlinear coupling. A conjugate transformation is defined
$\hat q \equiv \frac{{- 2q}}{{2 + q}}$ which provides a dual mapping between
the heavy-tail q-Gaussian distributions, whose translated q parameter is
between $ - 2 < q < 0$, and the compact-support q-Gaussians, between $0 < q <
\infty $ . This conjugate transformation is used to extend the definition of
the q-Fourier transform to the domain of compact support. A conjugate q-Fourier
transform is proposed which transforms a q-Gaussian into a conjugate $\hat q$
-Gaussian, which has the same exponential decay as the Fourier transform of a
power-law function. The nonlinear statistical coupling is defined such that the
conjugate pair of q-Gaussians have equal strength but either couple
(compact-support) or decouple (heavy-tail) the statistical states. Many of the
nonextensive entropy applications can be shown to have physical parameters
proportional to the nonlinear statistical coupling.


title: Standard Model Higgs Searches at the LHC

abstract:
  The study of the mechanism behind electroweak symmetry breaking is one of the
main goals of the Large Hadron Collider and of its general-purpose experiments,
ATLAS and CMS. This paper reviews some of the ongoing studies by these
collaborations and, when possible, highlights the differences between
equivalent channels in both experiments.


title: Finding Sparse Cuts Locally Using Evolving Sets

abstract:
  A {\em local graph partitioning algorithm} finds a set of vertices with small
conductance (i.e. a sparse cut) by adaptively exploring part of a large graph
$G$, starting from a specified vertex. For the algorithm to be local, its
complexity must be bounded in terms of the size of the set that it outputs,
with at most a weak dependence on the number $n$ of vertices in $G$. Previous
local partitioning algorithms find sparse cuts using random walks and
personalized PageRank. In this paper, we introduce a randomized local
partitioning algorithm that finds a sparse cut by simulating the {\em
volume-biased evolving set process}, which is a Markov chain on sets of
vertices. We prove that for any set of vertices $A$ that has conductance at
most $\phi$, for at least half of the starting vertices in $A$ our algorithm
will output (with probability at least half), a set of conductance
$O(\phi^{1/2} \log^{1/2} n)$. We prove that for a given run of the algorithm,
the expected ratio between its computational complexity and the volume of the
set that it outputs is $O(\phi^{-1/2} polylog(n))$. In comparison, the best
previous local partitioning algorithm, due to Andersen, Chung, and Lang, has
the same approximation guarantee, but a larger ratio of $O(\phi^{-1}
polylog(n))$ between the complexity and output volume. Using our local
partitioning algorithm as a subroutine, we construct a fast algorithm for
finding balanced cuts. Given a fixed value of $\phi$, the resulting algorithm
has complexity $O((m+n\phi^{-1/2}) polylog(n))$ and returns a cut with
conductance $O(\phi^{1/2} \log^{1/2} n)$ and volume at least $v_{\phi}/2$,
where $v_{\phi}$ is the largest volume of any set with conductance at most
$\phi$.


title: Lattice Interferometer for Ultra-Cold Atoms

abstract:
  We demonstrate an atomic interferometer based on ultra-cold atoms released
from an optical lattice. This technique yields a large improvement in signal to
noise over a related interferometer previously demonstrated. The interferometer
involves diffraction of the atoms using a pulsed optical lattice. For short
pulses a simple analytical theory predicts the expected signal. We investigate
the interferometer for both short pulses and longer pulses where the analytical
theory break down. Longer pulses can improve the precision and signal size. For
specific pulse lengths we observe a coherent signal at times that differs
greatly from what is expected from the short pulse model. The interferometric
signal also reveals information about the dynamics of the atoms in the lattice.
We investigate the application of the interferometer for a measurement of
$h/m_A$ that together with other well known constants constitutes a measurement
of the fine structure constant.


title: Massive Spin-2 fields of Geometric Origin in Curved Spacetimes

abstract:
  We study the consistency of a model which includes torsion as well as the
metric as dynamical fields and has massive spin-2 particle in its spectrum. The
massive spin-2 mode resides in the torsion, rather than in the metric. It is
known that this model is tachyon- and ghost-free in Minkowski background. We
show that this property remains valid and no other pathologies emerge in de
Sitter and anti-de Sitter backgrounds, with some of our results extending to
arbirary Einstein space backgrounds. This suggests that the model is
consistent, at least at the classical level, unlike, e.g., the Fierz--Pauli
theory.


title:
Real Computation with Least Discrete Advice: A Complexity Theory of
  Nonuniform Computability

abstract:
  It is folklore particularly in numerical and computer sciences that, instead
of solving some general problem f:A->B, additional structural information about
the input x in A (that is any kind of promise that x belongs to a certain
subset A' of A) should be taken advantage of. Some examples from real number
computation show that such discrete advice can even make the difference between
computability and uncomputability. We turn this into a both topological and
combinatorial complexity theory of information, investigating for several
practical problems how much advice is necessary and sufficient to render them
computable.
  Specifically, finding a nontrivial solution to a homogeneous linear equation
A*x=0 for a given singular real NxN-matrix A is possible when knowing
rank(A)=0,1,...,N-1; and we show this to be best possible. Similarly,
diagonalizing (i.e. finding a BASIS of eigenvectors of) a given real symmetric
NxN-matrix is possible when knowing the number of distinct eigenvalues: an
integer between 1 and N (the latter corresponding to the nondegenerate case).
And again we show that N-fold (i.e. roughly log N bits of) additional
information is indeed necessary in order to render this problem (continuous
and) computable; whereas for finding SOME SINGLE eigenvector of A, providing
the truncated binary logarithm of the least-dimensional eigenspace of A--i.e.
Theta(log N)-fold advice--is sufficient and optimal.


title:
Diffusion of Time-Varying Signals in Complex Networks: A
  Structure-Dynamics Investigation Focusing the Distance to the Source of
  Activation

abstract:
  The way in which different types of dynamics unfold in complex networks is
intrinsically related to the propagation of activation along nodes, which is
strongly affected by the network connectivity. In this work we investigate to
which extent a time-varying signal emanating from a specific node is modified
as it diffuses, at the equilibrium regime, along uniformly random
(Erd\H{o}s-R\'enyi) and scale-free (Barab\'asi-Albert) networks. The degree of
preservation is quantified in terms of the Pearson cross-correlation between
the original signal and the derivative of the signals appearing at each node
along time. Several interesting results are reported. First, the fact that
quite distinct signals are typically obtained at different nodes in the
considered networks implies mean-field approaches to be completely inadequate.
It has also been found that the peak and lag of the similarity time-signatures
obtained for each specific node are strongly related to the respective distance
between that node and the source node. Such a relationship tends to decrease
with the average degree of the networks. Also, in the case of the lag, a less
intense relationship is verified for scale-free networks. No relationship was
found between the dispersion of the similarity signature and the distance to
the source.