English

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

Probability 2016-09-07 v1 q-bio

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.

Keywords

Cite

@article{arxiv.math/9809203,
  title  = {Large deviations for the Fleming-Viot process with neutral mutation and selection},
  author = {Donald Dawson and Shui Feng},
  journal= {arXiv preprint arXiv:math/9809203},
  year   = {2016}
}