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Spectral gap for measure-valued diffusion processes

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The spectral gap is estimated for measure-valued diffusion processes induced by the intrinsic/extrinsic derivatives on the space of finite measures over a Riemannian manifold. This provides explicit exponential convergence rate… Click to show full abstract

The spectral gap is estimated for measure-valued diffusion processes induced by the intrinsic/extrinsic derivatives on the space of finite measures over a Riemannian manifold. This provides explicit exponential convergence rate for these processes to approximate the Dirichlet and Gamma distributions arising from population genetics.

Keywords: measure valued; spectral gap; valued diffusion; diffusion processes

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020

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