Spectral gap for measure-valued diffusion processes

Panpan Ren; Feng-Yu Wang

doi:10.1016/j.jmaa.2019.123624

Spectral gap for measure-valued diffusion processes

Panpan Ren, Feng-Yu Wang^*

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

6 Citations (Scopus)

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.

Original language	English
Article number	123624
Journal	Journal of Mathematical Analysis and Applications
Volume	483
Issue number	2
Online published	25 Oct 2019
DOIs	https://doi.org/10.1016/j.jmaa.2019.123624
Publication status	Published - 15 Mar 2020
Externally published	Yes

Research Keywords

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

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title = "Spectral gap for measure-valued diffusion processes",

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.",

keywords = "Extrinsic derivative, Poincar{\'e} inequality, Super Poincar{\'e} inequality, Weak Poincar{\'e} inequality, Weighted Gamma distribution",

author = "Panpan Ren and Feng-Yu Wang",

year = "2020",

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day = "15",

doi = "10.1016/j.jmaa.2019.123624",

language = "English",

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T1 - Spectral gap for measure-valued diffusion processes

AU - Ren, Panpan

AU - Wang, Feng-Yu

PY - 2020/3/15

Y1 - 2020/3/15

N2 - 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.

AB - 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.

KW - Extrinsic derivative

KW - Poincaré inequality

KW - Super Poincaré inequality

KW - Weak Poincaré inequality

KW - Weighted Gamma distribution

UR - http://www.scopus.com/inward/record.url?scp=85074018746&partnerID=8YFLogxK

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U2 - 10.1016/j.jmaa.2019.123624

DO - 10.1016/j.jmaa.2019.123624

M3 - RGC 21 - Publication in refereed journal

SN - 0022-247X

VL - 483

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

M1 - 123624

ER -

Spectral gap for measure-valued diffusion processes

Abstract

Research Keywords

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