Duality and Asymptotics for a Class of Nonneutral Discrete Moran Models

DOI10.1239/jap/1253279856zbMath1181.92067OpenAlexW2035426885MaRDI QIDQ3182436

Martin Möhle, Thierry E. Huillet

Publication date: 8 October 2009

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

Full work available at URL: https://doi.org/10.1239/jap/1253279856

zbMATH Keywords

dualityOrnstein-Uhlenbeck processancestral processdescendants processmultitype Moran model

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Problems related to evolution (92D15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (4)

Correction on ‘Population Genetics Models with Skewed Fertilities: A Forward and Backward Analysis’ ⋮ Fluctuations analysis of finite discrete birth and death chains with emphasis on Moran models with mutations ⋮ Duality and intertwining for discrete Markov kernels: relations and examples ⋮ Looking Forwards and Backwards in the Multi-Allelic Neutral Cannings Population Model

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