Resolvent estimates for Fleming-Viot operators with Brownian drift

DOI10.1006/jfan.1998.3290zbMath0924.60025OpenAlexW2045387610MaRDI QIDQ1279640

Peter March

Publication date: 11 November 1999

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

Full work available at URL: https://doi.org/10.1006/jfan.1998.3290

zbMATH Keywords

resolventSobolev spaceFleming-Viot process

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Random measures (60G57) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Cites Work

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• Theory of Bessel potentials. I
• Equations différentielles provenant de la genetique des populations
• Diffusion processes and a class of Markov chains related to population genetics
• Resolvent estimates for Fleming-Viot operators and uniqueness of solutions to related martingale problems
• A countable representation of the Fleming-Viot measure-valued diffusion
• A class of degenerate diffusion processes occurring in population genetics
• Fleming–Viot Processes in Population Genetics