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Large deviation results for a class of Markov chains with application to an infinite alleles model of population genetics

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Publication:1203749
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DOI10.1214/AOAP/1177005579zbMath0767.92019OpenAlexW2029113433MaRDI QIDQ1203749

Gregory J. Morrow

Publication date: 22 February 1993

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

Full work available at URL: https://doi.org/10.1214/aoap/1177005579


zbMATH Keywords

selectionpopulation geneticsexit timemutationexpected timeinfinite alleles modelstopology of weak convergencelimit of solutionsmeasure-valued Markov chainrandomly mating genesvariational problems of Wentzell-Freidlin type


Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Large deviations (60F10) Genetics and epigenetics (92D10)


Related Items (2)

The large deviations of a multi-allele Wright-Fisher process mapped on the sphere. ⋮ Elliptic and other functions in the large deviations behavior of the Wright-Fisher process







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