Diffusion processes and a class of Markov chains related to population genetics

zbMath0401.60072MaRDI QIDQ1255263

Ken-iti Sato

Publication date: 1976

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

zbMATH Keywords

Invariance PrincipleMarkov ChainsDiffusion ProcessMartingale ProblemMultitype Branching Processes with Stationary ImmigrationPopulation Genetics

Mathematics Subject Classification ID

Applications of branching processes (60J85) Diffusion processes (60J60) Convergence of probability measures (60B10) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (11)

PAIRS TRADING UNDER DRIFT UNCERTAINTY AND RISK PENALIZATION ⋮ Finite state mean field games with Wright-Fisher common noise ⋮ Existence, uniqueness and the strong Markov property of solutions to Kimura diffusions with singular drift ⋮ An estimator for the recombination rate from a continuously observed diffusion of haplotype frequencies ⋮ Allele frequencies in multigene families. I: Diffusion equation approach ⋮ Models and approximations for random genetic drift ⋮ Conditional processes induced by birth and death processes ⋮ Weak convergence of discrete time non-Markovian processes related to selection models in population genetics ⋮ Forward and backward diffusion approximations for haploid exchangeable population models. ⋮ Diffusion approximations of the two-locus Wright-Fisher model ⋮ Resolvent estimates for Fleming-Viot operators with Brownian drift

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