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The Wave Equation in a General Spherically Symmetric Black Hole Geometry
The Wave Equation Spherically Symmetric Black Hole Geometry General Relativity and Quantum Cosmology
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2011/7/28
The Wave Equation in a General Spherically Symmetric Black Hole Geometry.
The uniqueness in the inverse problem for transmission eigenvalues for the spherically-symmetric variable-speed wave equation
transmission eigenvalues inverse spectral problem variable-speed wave equation
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2011/7/26
The uniqueness in the inverse problem for transmission eigenvalues for the spherically-symmetric variable-speed wave equation.
Smooth Gowdy symmetric generalized Taub-NUT solutions
Gowdy symmetric Taub-NUT General Relativity and Quantum Cosmology
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2011/7/27
Abstract: We study a class of S3 Gowdy vacuum models with a regular past Cauchy horizon which we call smooth Gowdy symmetric generalized Taub-NUT solutions. In particular, we prove existence of such s...
Non-adiabatic transitions in a non-symmetric optical lattice
Non-adiabatic transitions non-symmetric optical lattice
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2011/7/27
Abstract: We study Landau-Zener interband transitions for a non-symmetric optical lattice in the presence of an external force. We show that gain and losses of the light beam, as well as the relative ...
Supersymmetry Flows, Semi-Symmetric Space Sine-Gordon Models And The Pohlmeyer Reduction
Supersymmetry Flows Semi-Symmetric Space Sine-Gordon Models Pohlmeyer Reduction
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2011/3/3
We study the extended supersymmetric integrable hierarchy underlying the Pohlmeyer reduction of superstring sigma models on semi-symmetric superspaces F/G.
The largest eigenvalue of real symmetric, Hermitian and Hermitian self-dual random matrix models with rank one external source, part I
largest eigenvalue of real symmetric Hermitian and Hermitian self-dual random matrix rank one external source
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2011/2/22
We consider the limiting location and limiting distribution of the largest eigenvalue in real
symmetric (β = 1), Hermitian (β = 2), and Hermitian self-dual (β = 4) random matrix models
with rank 1 e...
Algorithms for Highly Symmetric Linear and Integer Programs
Algorithms Highly Symmetric Linear Integer Programs
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2011/2/25
This paper deals with exploiting symmetry for solving linear and integer programming problems. Basic properties of linear representations of finite groups can be used to reduce symmetric linear progra...
Fano symmetric varieties with low rank
Symmetric varieties Fano varieties
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2011/2/22
The symmetric projective varieties of rank one are all smooth and Fano by a classic result of Akhiezer. We classify the locally factorial (respectively smooth) projective symmetric G-varieties of rank...
Loop symmetric functions and factorizing matrix polynomials
Loop symmetric functions factorizing matrix polynomials
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2011/1/18
These are notes for my talk at ICCM 2010, Beijing. We survey some results, obtained jointly with Pavlo Pylyavskyy, concerning the ring of loop symmetric functions. Motivations from networks on surface...
Patterson-Sullivan distributions for symmetric spaces of the noncompact type
Patterson-Sullivan distributions symmetric spaces noncompact type
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2011/1/18
There is a curious relation between two kinds of phase space distributions associated to Laplace-eigenfunctions ϕk on a compact hyperbolic manifold Y .
Extension of Symmetric Spaces and Restriction of Weyl Groups and Invariant Polynomials
Invariant polynomials Extension of symmetric spaces Spherical Fourier transform
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2011/1/17
Polynomial invariants are fundamental objects in analysis on Lie groups and symmetric spaces. Invariant differential operators on symmetric spaces are described by Weyl group invariant poly-nomial.
Random partitions and asymptotic theory of symmetric groups, Hecke algebras and finite Chevalley groups
Random partitions asymptotic theory of symmetric groups Hecke algebras finite Chevalley groups
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2011/2/22
Kit meanwhile had begun to frequent the Applied Mechanics Institute. Since Prandtl’s recent discovery of the boundary layer, things over there had been hopping, with intense inquiry into matters of li...
On the automorphism group of tube type real symmetric domains
Jordan algebra Jordan triple system bounded symmetric domain partial Cayley transform
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2011/1/18
The aim of this note is to explain a generalization to the real case of a well known result on the automorphism group of an unbounded tube type symmetric domain in a complex vector space of finite dim...
On causal properties of symmetric Lorentzian spaces
causal properties symmetric Lorentzian spaces
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2011/1/18
The causal properties of Lorentzian symmetric spaces are investigated in the paper. There is proved the global hyperbolicity of the Cahen–Wallach Lorentzian symmetric spaces, corresponding to solvable...
Penalisation of the symmetric random walk by several functions of the supremum
Penalisation symmetric random several functions of the supremum
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2011/1/21
all ( ,F1,P,X,F) the canonical space for the standard random walk on Z. Thus, denotes the set of paths : N ! Z such that | (n + 1) − (n)| = 1, X = (Xn, n 0) is the canonical coordinate proc...