Genealogical processes for Fleming-Viot models with selection and recombination
type: Item
instance of: scholarly article
title: Genealogical processes for Fleming-Viot models with selection and recombination
zbMATH Open document ID: 0964.60075
author: Peter Donnelly
author: Thomas G. Kurtz
published in: The Annals of Applied Probability
publication date: 2000-09-04T00:00:00Z
review text: The Fleming-Viot process has played an important role in developing infinite-dimensional stochastic analysis and its applications (especially in population genetics). The authors provide a countable representation for Fleming-Viot process as the evolution of an infinite collection of discrete individuals. The results are based on the existence of stationary distribution for a model with selection with respect to the stationary distribution for the corresponding neutral model. Further many interesting cases like sample path properties, ergodicity and the structure of moment measures are studied in terms of genealogy.
Mathematics Subject Classification ID: 60J25
Mathematics Subject Classification ID: 92D10
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 60J70
zbMATH DE Number: 1500270
zbMATH Keywords: genetic models
zbMATH Keywords: Fleming-Viot process
zbMATH Keywords: measure-valued diffusion
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aoap/1029962866
OpenAlex ID: W2091372342
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DOI: 10.1214/AOAP/1029962866
description: scientific article; zbMATH DE number 1500270