Continuum space limit of the genealogies of interacting Fleming-Viot processes on \(\mathbb{Z}\)

DOI10.1214/16-EJP4514zbMath1346.60139arXiv1508.07169OpenAlexW2963339438MaRDI QIDQ320229

Andreas Greven, Rongfeng Sun, Anita Winter

Publication date: 6 October 2016

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07169

zbMATH Keywords

martingale problemsBrownian webcontinuum-sites stepping stone modelevolving genealogiesinteracting Fleming-Viot processmarked metric measure spacenegative correlation inequalitiesspatial continuum limit

Mathematics Subject Classification ID

Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Population dynamics (general) (92D25) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

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