Ergodic Inequality of Three Population Genetic Models
Abstract
In this article, three models are considered, they are the infinitely-many-neutral-alleles model MR615945, infinite dimensional diffusion associated with two-parameter Poisson-Dirichlet distribution MR2596654 and the infinitely-many-alleles model with symmetric dominance MR1626158. The new representations of the transition transition densities are obtained for the first two models. Lastly, the ergodic inequalities of these three models are provided.
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