Coupling and ergodic theorems for Fleming-Viot processes

DOI10.1214/aop/1022855643zbMath0940.60045OpenAlexW2024606652MaRDI QIDQ1307497

Thomas G. Kurtz, Stewart N. Ethier

Publication date: 19 July 2000

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1022855643

zbMATH Keywords

dualityergodicityselectionpopulation geneticsstationary distributionrecombinationcouplingmeasure-valued diffusion

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Diffusion processes (60J60) Random measures (60G57) Genetics and epigenetics (92D10) Limit theorems in probability theory (60F99)

Related Items

Convergence to Fleming-Viot processes in the weak atomic topology ⋮ Functional inequalities for the two-parameter extension of the infinitely-many-neutral-alleles diffusion ⋮ Tree-valued Fleming-Viot dynamics with mutation and selection ⋮ Asymptotic behaviour of an infinitely-many-alleles diffusion with symmetric overdominance ⋮ Diffusions with holding and jumping boundary ⋮ Existence, uniqueness and ergodicity for the centered Fleming-Viot process ⋮ Spatial coupling of neutral measure-valued population models ⋮ Invariant measures for jump-type Fleming-Viot processes ⋮ A countable representation of the Fleming-Viot measure-valued diffusion ⋮ Genealogical processes for Fleming-Viot models with selection and recombination

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