Large deviations for the Fleming-Viot process with neutral mutation and selection

1998/09/17 by Donald A. Dawson, Dawson, Donald, Shui Feng +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #Evolution and Genetic Dynamics #FOS: Biological sciences #FOS: Mathematics #Probability (math.PR) #Quantitative Biology (q-bio) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.math/9809203

openalex publication_date 1998/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Large deviation principles are established for the Fleming-Viot processes with neutral mutation and selection, and the corresponding equilibrium measures as the sampling rate goes to 0. All results are first proved for the finite allele model, and then generalized, through the projective limit technique, to the infinite allele model. Explicit expressions are obtained for the rate functions.

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