Elliptic and other functions in the large deviations behavior of the Wright-Fisher process

DOI10.1214/AOAP/1027961039zbMath0942.60020OpenAlexW2045740930MaRDI QIDQ1296624

F. Papangelou

Publication date: 21 August 2000

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

Full work available at URL: https://doi.org/10.1214/aoap/1027961039

zbMATH Keywords

elliptic functionscalculus of variationslarge deviationsaction functionalWright-Fisher process

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Large deviations (60F10)

Related Items (1)

The large deviations of a multi-allele Wright-Fisher process mapped on the sphere.

Cites Work

• Large deviation results for a class of Markov chains with application to an infinite alleles model of population genetics
• Large deviation results for a class of Markov chains arising from population genetics
• The behavior of the ratio of a small-noise Markov chain to its deterministic approximation
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