Spectral gap for measure-valued diffusion processes

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Article number123624
Journal / PublicationJournal of Mathematical Analysis and Applications
Volume483
Issue number2
Online published25 Oct 2019
Publication statusPublished - 15 Mar 2020
Externally publishedYes

Abstract

The spectral gap is estimated for some measure-valued processes, which are induced by the intrinsic/extrinsic derivatives on the space of finite measures over a Riemannian manifold. These processes are symmetric with respect to the Dirichlet and Gamma distributions arising from population genetics. In addition to the evolution of allelic frequencies investigated in the literature, they also describe stochastic movements of individuals.

Research Area(s)

  • Extrinsic derivative, Poincaré inequality, Super Poincaré inequality, Weak Poincaré inequality, Weighted Gamma distribution

Citation Format(s)

Spectral gap for measure-valued diffusion processes. / Ren, Panpan; Wang, Feng-Yu.
In: Journal of Mathematical Analysis and Applications, Vol. 483, No. 2, 123624, 15.03.2020.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review