Spectral Gap for Measure-Valued Diffusion Processes

Panpan Ren; Feng-Yu Wang

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arXiv · 1903.02857

Spectral Gap for Measure-Valued Diffusion Processes

Panpan Ren·Feng-Yu Wang

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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.

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Panpan Ren, Feng-Yu Wang. 2019-03-07. Spectral Gap for Measure-Valued Diffusion Processes. https://arxiv.org/abs/1903.02857

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