A Fleming-Viot Process with Unbounded Selection, II

Abstract

In a previous paper the authors studied a Fleming—Viot process with house-of-cards mutation and an unbounded haploid selection intensity function. Results included existence and uniqueness of solutions of an appropriate martingale problem, existence, uniqueness, and reversibility of stationary distributions, and a weak limit theorem for a corresponding sequence of Wright—Fisher models. In the present paper we extend these results to the diploid setting. The existence and uniqueness results carry over fairly easily, but the limit theorem is more difficult and requires new ideas.