Resolvent estimates for Fleming-Viot operators and uniqueness of solutions to related martingale problems

DOI10.1006/jfan.1995.1111zbMath0853.60043OpenAlexW1994339701MaRDI QIDQ1908089

Donald A. Dawson, Peter March

Publication date: 16 December 1996

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1995.1111

zbMATH Keywords

Fleming-Viot processesspace of probability measuresmartingale problem characterizationmodels in population geneticsrandom pairwise mating

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Random measures (60G57) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (13)

Mutually catalytic branching in the plane: Finite measure states ⋮ The fundamental solution to 1D degenerate diffusion equation with one-sided boundary ⋮ Tree-valued Fleming-Viot dynamics with mutation and selection ⋮ Existence, uniqueness and ergodicity for the centered Fleming-Viot process ⋮ Initial-boundary value problems for conservative Kimura-type equations: solvability, asymptotic and conservation law ⋮ Graphon-valued stochastic processes from population genetics ⋮ Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type ⋮ Well-posedness of the martingale problem for some degenerate diffusion processes occurring in dynamics of populations ⋮ The renormalization transformation for two-type branching models ⋮ Resolvent estimates for Fleming-Viot operators with Brownian drift ⋮ A conversation with Don Dawson ⋮ Fundamental solution to 1D degenerate diffusion equation with locally bounded coefficients ⋮ Long-time behavior and coexistence in a mutually catalytic branching model

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