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Dynamical properties and characterization of gradient drift diffusions
Dynamical properties gradient drift diffusions
2009/3/31
We study the dynamical properties of the Brownian diffusions having σ Id as diffusion coefficient matrix and b=∇U as drift vector. We characterize this class through the equality D+2=D-2, where ...
On the characterization of isotropic Gaussian fields on homogeneous spaces of compact groups
isotropic Gaussian fields homogeneous spaces compact groups
2009/3/30
Let $T$ be a random field weakly 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 ...
A dynamical characterization of Poisson-Dirichlet distributions
dynamical characterization Poisson-Dirichlet distributions
2009/3/30
We show that a slight modification of a theorem of Ruzmaikina and Aizenman on competing particle systems on the real line leads to a characterization of Poisson-Dirichlet distributions PD(α,0). Precis...
On the characterization of isotropic Gaussian fields on homogeneous spaces of compact groups
characterization homogeneous spaces compact groups
2009/3/23
Let $T$ be a random field weakly invariant under the action of a compact group $G$. We give conditions ensuring that independence of the random Fourier coefficients is equivalent to Gaussianity. ...
A dynamical characterization of Poisson-Dirichlet distributions
dynamical characterization distributions Ruzmaikina Aizenman
2009/3/23
We show that a slight modification of a theorem of Ruzmaikina and Aizenman on competing particle systems on the real line leads to a characterization of Poisson-Dirichlet distributions PD(α,0). Precis...