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

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

1998-09-17

arxiv.org/abs/math/9809203v1

Mathematics

Probability

Scientific paper

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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