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

DOI10.1214/aoap/1019487616zbMath1073.60511OpenAlexW2079189561MaRDI QIDQ1872479

F. Papangelou

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aoap/1019487616

zbMATH Keywords

rate functionnatural selectionrandom genetic driftmutationHellinger-Bhattacharya distance

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) Genetics and epigenetics (92D10)

Cites Work

• Large deviation results for a class of Markov chains with application to an infinite alleles model of population genetics
• Elliptic and other functions in the large deviations behavior of the Wright-Fisher process
• Geometric aspects of Fleming-Viot and Dawson-Watanabe processes
• Large deviation for the Fleming-Viot process with neutral mutation and selection
• Differential-geometrical methods in statistics
• Diffusion models in population genetics
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