Reversibility of Interacting Fleming–Viot Processes with Mutation, Selection, and Recombination

DOI10.4153/CJM-2010-071-1zbMath1229.92065arXiv0803.1492OpenAlexW2962697332MaRDI QIDQ3073399

Byron Schmuland, Jean Vaillancourt, Shui Feng, Xiao-Wen Zhou

Publication date: 11 February 2011

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1492

zbMATH Keywords

migrationreversibilitynon-reversibilityinteracting measure-valued processes

Mathematics Subject Classification ID

Problems related to evolution (92D15) Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

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The reversibility and an SPDE for the generalized Fleming-Viot processes with mutation ⋮ Generalized stepping stone model with \(\Xi\)-resampling mechanism

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