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Shell-mediated tunnelling between (anti-)de Sitter vacua | We give an extensive study of the tunnelling between arbitrary (anti-)de
Sitter spacetimes separated by an infinitesimally thin relativistic shell in
arbitrary spacetime dimensions. In particular, we find analytically an exact
expression for the tunnelling amplitude.
The detailed spacetime structures that can arise are discussed, together with
an effective "regularization scheme" for "before tunnelling" configurations.
|
The solutions of the N-identical quantum harmonic oscillators
interacting with each other through the harmonic potential | This paper has been withdrawn by the author due to some mistakes
|
Asymmetry of in-medium rho-mesons as a signature of Cherenkov effects | Cherenkov gluons may be responsible for the asymmetry of dilepton mass
spectra near rho-meson observed in experiment. They can be produced only in the
low-mass wing of the resonance. Therefore the dilepton mass spectra are
flattened there and their peak is slightly shifted to lower masses compared
with the in-vacuum rho-meson mass. This feature must be common for all
resonances.
|
B-pairs and (phi,Gamma)-modules | Main change from v1 : theorem C has been modified, see remark 3.1.7 (2).
We study the category of B-pairs (W_e,W_dR^+) where W_e is a free
B_cris^{phi=1}-module with a semilinear and continuous action of G_K and where
W_dR^+ is a G_K-stable B_dR^+ -lattice in B_dR \otimes W_e. This category
contains the category of p-adic representations and is naturally equivalent to
the category of all (phi,Gamma)-modules over the Robba ring.
|
Gauge Mediation in String Theory | We show that a large class of phenomenologically viable models for gauge
mediation of supersymmetry breaking based on meta-stable vacua can be realized
in local Calabi-Yau compactifications of string theory.
|
EPR, Bell, Schrodinger's cat, and the Monty Hall Paradox | The purpose of this manuscript is to provide a short pedagogical explanation
why "quantum collapse" is not a metaphysical event, by pointing out the analogy
with a "classical collapse" which is associated with the Monty Hall Paradox.
|
Representative Ensembles in Statistical Mechanics | The notion of representative statistical ensembles, correctly representing
statistical systems, is strictly formulated. This notion allows for a proper
description of statistical systems, avoiding inconsistencies in theory. As an
illustration, a Bose-condensed system is considered. It is shown that a
self-consistent treatment of the latter, using a representative ensemble,
always yields a conserving and gapless theory.
|
On the weight structure of cyclic codes over $GF(q)$, $q>2$ | The interrelation between the cyclic structure of an ideal, i.e., a cyclic
code over Galois field $GF(q)$, $q>2$, and its classes of proportional elements
is considered. This relation is used in order to define the code's weight
structure. The equidistance conditions of irreducible nonprimitive codes over
GF(q) are given. Besides that, the minimum distance for some class of
nonprimitive cyclic codes is found.
|
Spectral analysis for convolution operators on locally compact groups | We consider operators $H_\mu$ of convolution with measures $\mu$ on locally
compact groups. We characterize the spectrum of $H_\mu$ by constructing
auxiliary operators whose kernel contain the pure point and singular subspaces
of $H_\mu$, respectively. The proofs rely on commutator methods.
|
On the induction of the four-dimensional Lorentz-breaking non-Abelian
Chern-Simons action | A four-dimensional Lorentz-breaking non-Abelian Chern-Simons like action is
generated as a one-loop perturbative correction via an appropriate
Lorentz-breaking coupling of the non-Abelian gauge field to the spinor field.
This term is shown to be regularization dependent but nevertheless it can be
found unambiguously in different regularization schemes at zero and finite
temperature.
|
Analysis of $\Omega_c^*(css)$ and $\Omega_b^*(bss)$ with QCD sum rules | In this article, we calculate the masses and residues of the heavy baryons
$\Omega_c^*(css)$ and $\Omega_b^*(bss)$ with spin-parity ${3/2}^+$ with the QCD
sum rules. The numerical values are compatible with experimental data and other
theoretical estimations.
|
Spinning Strings, Black Holes and Stable Closed Timelike Geodesics | The existence and stability under linear perturbation of closed timelike
curves in the spacetime associated to Schwarzschild black hole pierced by a
spinning string are studied. Due to the superposition of the black hole, we
find that the spinning string spacetime is deformed in such a way to allow the
existence of closed timelike geodesics.
|
Can GLAST detect gamma-rays from the extended radio features of radio
galaxies? | A few FRI radio galaxies were detected at GeV gamma-rays with CGRO EGRET,
with peroperties suggesting that the gamma-ray flux originates from the core.
Here we discuss the possibility that the extended radio features of radio
galaxies could be detected with the LAT, focusing on the particularly promising
case of the nearby giant radio galaxy Fornax A.
|
Non-commutativity and Open Strings Dynamics in Melvin Universes | We compute the Moyal phase factor for open strings ending on D3-branes
wrapping a NSNS Melvin universe in a decoupling limit explicitly using world
sheet formalism in cylindrical coordinates.
|
In Search of the Spacetime Torsion | Whether torsion plays or not a role in the description of the gravitational
interaction is a problem that can only be solved by experiment. This is,
however, a difficult task: since there are different possible interpretations
for torsion, there is no a model-independent way to look for it. In these
notes, two different possibilities will be reviewed, their consistency
analyzed, and the corresponding experimental outputs briefly discussed.
|
Fermionic approach to the evaluation of integrals of rational symmetric
functions | We use the fermionic construction of two-matrix model partition functions to
evaluate integrals over rational symmetric functions. This approach is
complementary to the one used in the paper ``Integrals of Rational Symmetric
Functions, Two-Matrix Models and Biorthogonal Polynomials'' \cite{paper2},
where these integrals were evaluated by a direct method.
|
Sharp Asymptotics for KPP Pulsating Front Speed-up and Diffusion
Enhancement by Flows | We study KPP pulsating front speed-up and effective diffusivity enhancement
by general periodic incompressible flows. We prove the existence of and
determine the limits $c^*(A)/A$ and $D(A)/A^2$ as $A\to\infty$, where $c^*(A)$
is the minimal front speed and $D(A)$ the effective diffusivity.
|
Holographic bound and protein linguistics | The holographic bound in physics constrains the complexity of life. The
finite storage capability of information in the observable universe requires
the protein linguistics in the evolution of life. We find that the evolution of
genetic code determines the variance of amino acid frequencies and genomic GC
content among species. The elegant linguistic mechanism is confirmed by the
experimental observations based on all known entire proteomes.
|
Temperature effects on quantum cloning of states and entanglement | Performances of the symmetric universal and phase-covariant cloning
transformations and entanglement cloners -- qubit case -- are investigated when
the initial state of the hardware or the original state to be cloned is weakly
coupled to a thermal environment. Different behaviors of each of these
transformations are analyzed and contrasted with the ideal cases.
|
Large Gauge Hierarchy in Gauge-Higgs Unification | We study a five dimensional nonsupersymmetric SU(3) gauge theory compactified
on $M^4\times S^1/Z_2$. The gauge hierarchy is discussed in the scenario of the
gauge-Higgs unification. We present two models in which the large gauge
hierarchy is realized, that is, the weak scale is naturally is obtained from an
unique large scale such as a GUT and the Planck scale. We also study the Higgs
mass in each model.
|
Full Additivity of the Entanglement of Formation | We present a general strategy that allows a more flexible method for the
construction of fully additive multipartite entanglement monotones than the
ones so far reported in the literature of axiomatic entanglement measures.
Within this framework we give a proof of a conjecture of outstanding
implications in information theory: the full additivity of the Entanglement of
Formation.
|
Arithmetic homology and an integral version of Katos conjecture | We define an integral Borel-Moore homology theory over finite fields, called
arithmetic homology, and an integral version of Kato homology. Both types of
groups are expected to be finitely generated, and sit in a long exact sequence
with higher Chow groups of zero-cycles.
|
On the Kaehler rank of compact complex surfaces | Harvey and Lawson introduced the Kaehler rank and computed it in connection
to the cone of positive exact currents of bidimension (1,1) for many classes of
compact complex surfaces. In this paper we extend these computations to the
only further known class of surfaces not considered by them, that of Kato
surfaces. Our main tool is the reduction to the dynamics of associated
holomorphic contractions.
|
Low frequency dispersive estimates for the Schrodinger group in higher
dimensions | We prove dispersive estimates for the low frequency part of the Schrodinger
group for a large class of potentials in dimensions greater or equal to four.
As a consequence, we extend the result of Journe, Sofer and Sogge to a larger
class of potentials. In this revised version a mistake in the proof of the
estimate (B.4) is removed.
|
On the Fine Structure of QCD Confining String | This paper had been withdrawn because the prime reported effect had not been
confirmed in further investigations (see arXiv:0812.4488 [hep-lat]).
|
Asymptotic profiles of solutions to viscous Hamilton-Jacobi equations | The large time behavior of solutions to Cauchy problem for viscous
Hamilton-Jacobi equation is classified. The large time asymptotics are given by
very singular self-similar solutions on one hand and by self-similar viscosity
solutions on the other hand
|
Asymptotic profiles of solutions to convection-diffusion equations | The large time behavior of zero mass solutions to the Cauchy problem for a
convection-diffusion equation. We provide conditions on the size and shape of
the initial datum such that the large time asymptotics of solutions is given
either by the derivative of the Guass-Weierstrass kernel or by a self-similar
solution or by a hyperbolic N-wave
|
Possible origin of Larson's lows | It was found that approximately constant column densities of giant molecular
clouds (Larson's low) can be explained as cloud existence condition in external
(galactic) gravitational field. This condition can be also applied to objects
(clumps and cores) embedded into the cloud and its gravitational field. Derived
existence condition do not rely on any internal dynamic of a cloud and embedded
objects.
|
The Manin conjecture in dimension 2 | These lecture notes describe the current state of affairs for Manin's
conjecture in the context of del Pezzo surfaces.
|
Pseudodifferential operators and weighted normed symbol spaces | In this work we study some general classes of pseudodifferential operators
whose symbols are defined in terms of phase space estimates.
|
Entwining Structures in Monoidal Catrgories | Interpreting entwining structures as special instances of J. Beck's
distributive law, the concept of entwining module can be generalized for the
setting of arbitrary monoidal category. In this paper, we use the distributive
law formalism to extend in this setting basic properties of entwining modules.
|
Sur les repr\'esentations du groupe fondamental d'une vari\'et\'e
priv\'ee d'un diviseur \`a croisements normaux simples | Given a projective variety X over an algebraically closed field of
characteristic zero, we show that finite parabolic bundles along a fixed simple
normal crossings divisor D are in one to one correspondence with
representations of the \'etale fundamental group of X-D.
|
Tannakian Categories attached to abelian Varieties | Starting from certain perverse sheaves on an abelian variety, including the
intersection cohomology sheaves of curves and smooth ample divisors, we
construct a semisimple super-Tannakian category.
|
Invariants of Welded Virtual Knots Via Crossed Module Invariants of
Knotted Surfaces | We define an invariant of welded virtual knots from each finite crossed
module by considering crossed module invariants of ribbon knotted surfaces
which are naturally associated with them. We elucidate that the invariants
obtained are non trivial by calculating explicit examples. We define welded
virtual graphs and consider invariants of them defined in a similar way.
|
Complexity of Janet basis of a D-module | We prove a double-exponential upper bound on the degree and on the complexity
of constructing a Janet basis of a $D$-module. This generalizes a well known
bound on the complexity of a Gr\"obner basis of a module over the algebra of
polynomials. We would like to emphasize that the obtained bound can not be
immediately deduced from the commutative case.
|
Intersection local time for two independent fractional Brownian motions | We prove the existence of the intersection local time for two independent, d
-dimensional fractional Brownian motions with the same Hurst parameter H.
Assume d greater or equal to 2, then the intersection local time exists if and
only if Hd<2.
|
Symmetry Breaking Study with Deformed Ensembles | A random matrix model to describe the coupling of m-fold symmetry in
constructed. The particular threefold case is used to analyze data on
eigenfrequencies of elastomechanical vibration of an anisotropic quartz block.
It is suggested that such experimental/theoretical study may supply powerful
means to discern intrinsic symmetries in physical systems.
|
Numerical Evaluation of Six-Photon Amplitudes | We apply the recently proposed amplitude reduction at the integrand level
method, to the computation of the scattering process 2 photons -> 4 photons,
including the case of a massive fermion loop. We also present several
improvements of the method, including a general strategy to reconstruct the
rational part of any one-loop amplitude and the treatment of vanishing
Gram-determinants.
|
Discrete phase space and minimum-uncertainty states | The quantum state of a system of qubits can be represented by a Wigner
function on a discrete phase space, each axis of the phase space taking values
in a finite field. Within this framework, we show that one can make sense of
the notion of a "rotationally invariant state" of any collection of qubits, and
that any such state is, in a well defined sense, a state of minimum
uncertainty.
|
Wide-bandwidth, tunable, multiple-pulse-width optical delays using slow
light in cesium vapor | We demonstrate an all-optical delay line in hot cesium vapor that tunably
delays 275 ps input pulses up to 6.8 ns and 740 input ps pulses up to 59 ns
(group index of approximately 200) with little pulse distortion. The delay is
made tunable with a fast reconfiguration time (hundreds of ns) by optically
pumping out of the atomic ground states.
|
Controllable Quantum Switchboard | All quantum information processes inevitably requires the explicit state
preparation of an entangled state. Here we present the construction of a
quantum switchboard which can act both as an optimal quantum cloning machine
and a quantum demultiplexer based on the preparation of a four-qubit state.
|
Two characterizations of crooked functions | We give two characterizations of crooked functions: one based on the minimum
distance of a Preparata-like code, and the other based on the
distance-regularity of a crooked graph.
|
The Realm of the First Quasars in the Universe: the X-ray View | We review the X-ray studies of the highest redshift quasars, focusing on the
results obtained with Chandra and XMM-Newton. Overall, the X-ray and broad-band
properties of z>4 quasars and local quasars are similar, suggesting that the
small-scale X-ray emission regions of AGN are insensitive to the significant
changes occurring at z=0-6.
|
General Doppler Shift Equation and the Possibility of Systematic Error
in Calculation of Z for High Redshift Type Ia Supernovae | Systematic error in calculation of z for high redshift type Ia supernovae
could help explain unexpected luminosity values that indicate an accelerating
rate of expansion of the universe.
|
Quantum State Transfer with Spin Chains | The thesis covers various aspects of quantum state transfer in permanently
coupled spin systems.
|
Thistlethwaite's theorem for virtual links | The celebrated Thistlethwaite theorem relates the Jones polynomial of a link
with the Tutte polynomial of the corresponding planar graph. We give a
generalization of this theorem to virtual links. In this case, the graph will
be embedded into a (higher genus) surface. For such graphs we use the
generalization of the Tutte polynomial discovered by B.Bollobas and O.Riordan.
|
Mutant knots and intersection graphs | We prove that if a finite order knot invariant does not distinguish mutant
knots, then the corresponding weight system depends on the intersection graph
of a chord diagram rather than on the diagram itself. The converse statement is
easy and well known. We discuss relationship between our results and certain
Lie algebra weight systems.
|
Energy of 4-Dimensional Black Hole, etc | In this letter I suggest possible redefinition of mass density, not depending
on speed of the mass element, which leads to a more simple stress-energy for an
object. I calculate energy of black hole.
|
Complete integrable systems with unconfined singularities | We prove that any globally periodic rational discrete system in K^k(where K
denotes either R or C), has unconfined singularities, zero algebraic entropy
and it is complete integrable (that is, it has as many functionally independent
first integrals as the dimension of the phase space). In fact, for some of
these systems the unconfined singularities are the key to obtain first
integrals using the Darboux-type method of integrability.
|
On the largest prime factor of the Mersenne numbers | Let P(k) be the largest prime factor of the positive integer k. In this
paper, we prove that the series $\sum_{n\ge 1}\frac{(\log n)^a}{P(2^n-1)}$ is
convergent for each constant a<1/2, which gives a more precise form of a result
of C. L. Stewart from 1977.
|
Siegel's theorem for Drinfeld modules | We prove an analog of Siegel's theorem for integral points in the context of
Drinfeld modules. The result holds for finitely generated submodules of the
additive group over a function field of transcendence dimension 1.
|
A dynamical version of the Mordell-Lang conjecture for the additive
group | We prove a dynamical version of the Mordell-Lang conjecture in the context of
Drinfeld modules. We use analytic methods similar to the ones employed by
Skolem, Chabauty, and Coleman for studying diophantine equations.
|
Tautological classes on moduli spaces of curves with linear series and a
push-forward formula when $\rho=0$ | We define tautological Chow classes on the moduli space of curves with linear
series. In the case where the forgetful morphism to the moduli space of curves
has relative dimension zero, we describe the images of these classes in the
Chow group of Mgbar. As an application, we compute the (virtual) slopes of
several different classes of divisors on Mgbar.
|
Equivariant symmetric bilinear torsions | We extend the main result in the previous paper of Zhang and the author
relating the Milnor-Turaev torsion with the complex valued analytic torsion to
the equivariant case.
|
Carleman estimates and unique continuation for second order parabolic
equations with nonsmooth coefficients | This work is devoted to the strong unique continuation problem for second
order parabolic equations with nonsmooth coefficients. Introduction and
bibliography have been revised.
|
Specialized computer algebra system for application in general
relativity | A brief characteristic of the specialized computer algebra system GRG_EC
intended for symbolic computations in the field of general relativity is given.
|
Reply to Comment on ``An Improved Experimental Limit on the Electric
Dipole Moment of the Neutron'' | The Authors reply to the Comment of Golub and Lamoreaux. The experimental
limit on the neutron electric dipole moment remains unchanged from that
previously announced.
|
Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on
$S^n$ | We compute the eigenvalues with multiplicities of the Lichnerowicz Laplacian
acting on the space of symmetric covariant tensor fields on the Euclidian
sphere $S^n$. The spaces of symmetric eigentensors are explicitly given.
|
Geometry and Dynamics of Quantum State Diffusion | Riemannian metric on real 2n-dimensional space associated with the equation
governing complex diffusion of pure states of an open quantum system is
introduced and studied. Examples of a qubit under the influence of dephasing
and thermal environments are used to show that the curvature of the diffusion
metric is a good indicator of the properties of the environment dominated
evolution and its stability.
|
Compton-thick AGN and the Synthesis of the Cosmic X-ray Background: the
Suzaku Perspective | We discuss the abundance of Compton-thick AGN as estimated by the most recent
population synthesis models of the cosmic X-ray background. Only a small
fraction of these elusive objects have been detected so far, in line with the
model expectations. The advances expected by the broad band detectors on board
Suzaku are briefly reviewed.
|
Triangulated categories without models | We exhibit examples of triangulated categories which are neither the stable
category of a Frobenius category nor a full triangulated subcategory of the
homotopy category of a stable model category. Even more drastically, our
examples do not admit any non-trivial exact functors to or from these algebraic
respectively topological triangulated categories.
|
Description of the Scenario Machine | We present here an updated description of the "Scenario Machine" code. This
tool is used to carry out a population synthesis of binary stars. Previous
version of the description can be found at
http://xray.sai.msu.ru/~mystery//articles/review/contents.html
|
Calculating Valid Domains for BDD-Based Interactive Configuration | In these notes we formally describe the functionality of Calculating Valid
Domains from the BDD representing the solution space of valid configurations.
The formalization is largely based on the CLab configuration framework.
|
The p-adic generalized twisted (h,q)-euler-l-function and its
applications | The purpose of this paper is to construct the p-adic twisted
(h,q)-Euler-l-function, which interpolates the twisted generalized twisted
Euler numbers attached to chi at a negative integer.
|
La formule de Lie-Trotter pour les semi-groupes fortement continus | In this research project we presents the general properties, the spectral
properties and the representation formulas for $C_0$-semigroups of linear
operators in Banach spaces
|
Flat Pencils of Symplectic Connections and Hamiltonian Operators of
Degree 2 | Bi-Hamiltonian structures involving Hamiltonian operators of degree 2 are
studied. Firstly, pairs of degree 2 operators are considered in terms of an
algebra structure on the space of 1-forms, related to so-called Fermionic
Novikov algebras. Then, degree 2 operators are considered as deformations of
hydrodynamic type Poisson brackets.
|
Equivalences of Higher Derived Brackets | This note elaborates on Th. Voronov's construction
[math/0304038,math/0412202] of $L_\infty$-structures via higher derived
brackets with a Maurer-Cartan element. It is shown that gauge equivalent
Maurer-Cartan elements induce $L_\infty$-isomorphic structures. Applications in
symplectic, Poisson and Dirac geometry are discussed.
|
Preconditioned Temporal Difference Learning | This paper has been withdrawn by the author. This draft is withdrawn for its
poor quality in english, unfortunately produced by the author when he was just
starting his science route. Look at the ICML version instead:
http://icml2008.cs.helsinki.fi/papers/111.pdf
|
Sobolev solution for semilinear PDE with obstacle under monotonicity
condition | We prove the existence and uniqueness of the solution of a semilinear PDE's
and also PDE's with obstacle under monotonicity condition. Moreover we give the
probabilistic interpretation of the Sobolev's solutions in term of Backward SDE
and reflected Backward SDE respectively.
|
Framework for non-perturbative analysis of a Z(3)-symmetric effective
theory of finite temperature QCD | We study a three dimensional Z(3)-symmetric effective theory of high
temperature QCD. The exact lattice-continuum relations, needed in order to
perform lattice simulations with physical parameters, are computed to order
O(a^0) in lattice perturbation theory. Lattice simulations are performed to
determine the phase structure of a subset of the parameter space.
|
Asymptotic stability at infinity for bidimensional Hurwitz vector fields | Let $X:U-->R^2$ be a differentiable vector field. Set $Spc(X)={eigenvalues of
DX(z) : z\in U}$. This $X$ is called Hurwitz if $Spc(X)\subset{z\in
C:\Re(z)<0}$. Suppose that $X$ is Hurwitz and $U\subset R^2$ is the complement
of a compact set. Then by adding to $X$ a constant $v$ one obtains that the
infinity is either an attractor or a repellor for $X+v.$
|
Renormalization of Hamiltonian QCD | We study to one-loop order the renormalization of QCD in the Coulomb gauge
using the Hamitonian formalism. Divergences occur which might require
counter-terms outside the Hamiltonian formalism, but they can be cancelled by a
redefinition of the Yang-Mills electric field.
|
What made GRBs 060505 and 060614? | Recent observations of two nearby SN-less long-duration gamma-ray bursts
(GRBs), which share no obvious characteristics in their prompt emission,
suggest a new phenomenological type of massive stellar death. Here we briefly
review the observational properties of these bursts and their proposed hosts,
and discuss whether a new GRB classification scheme is needed.
|
Some invariants of pretzel links | We show that nontrivial classical pretzel knots L(p,q,r) are hyperbolic with
eight exceptions which are torus knots. We find Conway polynomials of n-pretzel
links using a new computation tree. As applications, we compute the genera of
n-pretzel links using these polynomials and find the basket number of pretzel
links by showing that the genus and the canonical genus of a pretzel link are
the same.
|
Curvature in Synthetic Differential Geometry of Groupoids | We study the fundamental properties of curvature in groupoids within the
framework of synthetic differential geometry. As is usual in synthetic
differential geometry, its combinatorial nature is emphasized. In particular,
the classical Bianchi identity is deduced from its combinatorial one.
|
Proton Decay Constraints on Low Scale AdS/CFT Unification | Dark matter candidates and proton decay in a class of models based on the
AdS/CFT correspondence are discussed. We show that the present bound on the
proton decay lifetime is inconsistent with ${\cal N} = 1$ SUSY, and strongly
constrains ${\cal N} = 0$ non-SUSY, low scale trinification type unification of
orbifolded AdS$\otimes S^5$ models.
|
BPS Black Holes | The entropy of BPS black holes in four space-time dimensions is discussed
from both macroscopic and microscopic points of view.
|
Large deviations of Poisson cluster processes | In this paper we prove scalar and sample path large deviation principles for
a large class of Poisson cluster processes. As a consequence, we provide a
large deviation principle for ergodic Hawkes point processes.
|
The Generalized PT-Symmetric Sinh-Gordon Potential Solvable within
Quantum Hamilton-Jacobi Formalism | The generalized Sinh-Gordon potential is solved within quantum Hamiltonian
Jacobi approach in the framework of PT symmetry. The quasi exact solutions of
energy eigenvalues and eigenfunctions of the generalized Sinh-Gordon potential
are found for n=0,1 states.
|
On Beltrami fields with nonconstant proportionality factor on the plane | We consider the equation rotB+aB=0 (1) in the plane with a being a
real-valued function and show that it can be reduced to a Vekua equation of a
special form. In the case when a depends on one Cartesian variable a complete
system of exact solutions of the Vekua equation and hence of equation (1) is
constructed based on L. Bers' theory of formal powers.
|
On the solution of the static Maxwell system in axially symmetric
inhomogeneous media | We consider the static Maxwell system with an axially symmetric dielectric
permittivity and construct complete systems of its solutions which can be used
for analytic and numerical solution of corresponding boundary value problems.
|
Exponential Decay of Correlations for Randomly Chosen Hyperbolic Toral
Automorphisms | We consider pairs of toral automorphisms (A,B) satisfying an invariant cone
property. At each iteration, A acts with probability p and B with probability
1-p. We prove exponential decay of correlations for a class of Holder
continuous observables.
|
A Search for Electron Neutrino Appearance at the Delta m**2 ~ 1 eV**2
Scale | The MiniBooNE Collaboration reports first results of a search for $\nu_e$
appearance in a $\nu_\mu$ beam. With two largely independent analyses, we
observe no significant excess of events above background for reconstructed
neutrino energies above 475 MeV. The data are consistent with no oscillations
within a two neutrino appearance-only oscillation model.
|
Proof of the Labastida-Marino-Ooguri-Vafa Conjecture | Based on large N Chern-Simons/topological string duality, in a series of
papers, J.M.F. Labastida, M. Marino, H. Ooguri and C. Vafa conjectured certain
remarkable new algebraic structure of link invariants and the existence of
infinite series of new integer invariants. In this paper, we provide a proof of
this conjecture. Moreover, we also show these new integer invariants vanish at
large genera.
|
Concrete Classification and Centralizers of Certain $\mathbb{Z}^2
\rtimes {\rm SL}(2,\mathbb{Z})$-actions | We introduce a new class of actions of the group $\G$ on finite von Neumann
algebras and call them twisted Bernoulli shift actions. We classify these
actions up to conjugacy and give an explicit description of their centralizers.
We also distinguish many of those actions on the AFD $\mathrm{II}_1$ factor in
view of outer conjugacy.
|
Massive N=1 supermultiplets with arbitrary superspins | In this paper we give explicit construction of massive N=1 supermultiplets in
flat d=4 Minkowski space-time. We work in a component on-shell formalism based
on gauge invariant description of massive integer and half-integer spin
particles where massive supermultiplets are constructed out of appropriate set
of massless ones.
|
Estimates for singular integrals and extrapolation | We prove a sharp Lp estimate for a singular Radon transform according to a
size condition of its kernel, which is useful for extrapolation.
|
Riemannian and Lorentzian structures on the non symmetric space
SO(2m)/Sp(m) | In this work, we are interested in a non symmetric homogeneous space, namely
$SO(2m)/Sp(m)$. We show that this space admits a structure of $Z_2^2$-symmetric
space. We describe all the non degenerated metrics and classify the Riemannian
and Lorentzian ones.
|
Supersymmetric Field Theory Based on Generalized Uncertainty Principle | We construct a quantum theory of free fermion field based on the generalized
uncertainty principle using supersymmetry as a guiding principle. A
supersymmetric field theory with a real scalar field and a Majorana fermion
field is given explicitly and we also find that the supersymmetry algebra is
deformed from an usual one.
|
Matrix Ordered Operator Algebras | We study the question when for a given *-algebra $\mathcal{A}$ a sequence of
cones $C_n\in M_n(\mathcal{A})$ can be realized as cones of positive operators
in a faithful *-representation of $\mathcal{A}$ on a Hilbert space. A
characterization of operator algebras which are completely boundedly isomorphic
to $C\sp*$-algebras is presented.
|
A separable deformation of the quaternion group algebra | The Donald-Flanigan conjecture asserts that for any finite group and for any
field, the corresponding group algebra can be deformed to a separable algebra.
The minimal unsolved instance, namely the quaternion group over a field of
characteristic 2 was considered as a counterexample. We present here a
separable deformation of the quaternion group algebra. In a sense, the
conjecture for any finite group is open again.
|
Entropy of eigenfunctions | We study the high--energy limit for eigenfunctions of the laplacian, on a
compact negatively curved manifold. We review the recent result of
Anantharaman-Nonnenmacher giving a lower bound on the Kolmogorov-Sinai entropy
of semiclassical measures, and improve this lower bound in the case of variable
negative curvature.
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Vector meson production from a polarized nucleon | We provide a framework to analyze the electroproduction process ep -> ep rho
with a polarized target, writing the angular distribution of the rho decay
products in terms of spin density matrix elements that parameterize the
hadronic subprocess gamma* p -> rho p. Using the helicity basis for both photon
and meson, we find a representation in which the expressions for a polarized
and unpolarized target are related by simple substitution rules.
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On the characterization of isotropic Gaussian fields on homogeneous
spaces of compact groups | Let T be a random field invariant under the action of a compact group G We
give conditions ensuring that independence of the random Fourier coefficients
is equivalent to Gaussianity. As a consequence, in general it is not possible
to simulate a non-Gaussian invariant random field through its Fourier expansion
using independent coefficients.
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Sharp dark-mode resonances in planar metamaterials with broken
structural symmetry | We report that resonant response with a very high quality factor can be
achieved in a planar metamaterial by introducing symmetry breaking in the shape
of its structural elements, which enables excitation of dark modes, i.e. modes
that are weakly coupled to free space.
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Core excitation in the elastic scattering and breakup of $^{11}$Be on
protons | The elastic scattering and breakup of $^{11}$Be from a proton target at
intermediate energies is studied. We explore the role of core excitation in the
reaction mechanism. Comparison with the data suggests that there is still
missing physics in the description.
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An adaptive numerical method for the Vlasov equation based on a
multiresolution analysis | In this paper, we present very first results for the adaptive solution on a
grid of the phase space of the Vlasov equation arising in particles accelarator
and plasma physics. The numerical algorithm is based on a semi-Lagrangian
method while adaptivity is obtained using multiresolution analysis.
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Anomalous energy transport in the FPU-beta chain | We consider the energy current correlation function for the FPU-beta lattice.
For small non-linearity one can rely on kinetic theory. The issue reduces then
to a spectral analysis of the linearized collision operator. We prove thereby
that, on the basis of kinetic theory, the energy current correlations decay in
time as t^(-3/5). It follows that the thermal conductivity is anomalous,
increasing as N^(2/5) with the system size N.
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High-altitude signatures of ionospheric density depletions caused by
field-aligned currents | We present Cluster measurements of large electric fields correlated with
intense downward field-aligned currents, and show that the data can be
reproduced by a simple model of ionospheric plasma depletion caused by the
currents. This type of magnetosphere-ionosphere interaction may be important
when considering the mapping between these two regions of space.
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Reply to Comment on "Chiral suppression of scalar glueball decay" | Reply to the comment of Chao, He, and Ma.
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