Interacting Fleming-Viot processes

DOI10.1016/0304-4149(90)90041-PzbMath0729.92017MaRDI QIDQ807458

Jean Vaillancourt

Publication date: 1990

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

interacting populationsmartingale problemsmeasure-valued processextension of the Ohta-Kimura stepwise-mutation modelinteracting Fleming-Viot processesmeasure-valued limitsmethod of dualityoverlapping territoriesscaling theorem

Mathematics Subject Classification ID

Problems related to evolution (92D15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Genetics and epigenetics (92D10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items

Probability measure-valued polynomial diffusions, General epidemiological models: law of large numbers and contact tracing, A Bayesian nonparametric approach to modeling market share dynamics, On the scaling theorem for interacting Fleming-Viot processes

Cites Work

• Wandering random measures in the Fleming-Viot model
• Weak convergence of sequences of semimartingales with applications to multitype branching processes
• A Space-Time Property of a Class of Measure-Valued Branching Diffusions
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