English

Ergodic Inequality of Three Population Genetic Models

Probability 2013-11-20 v2

Abstract

In this article, three models are considered, they are the infinitely-many-neutral-alleles model \cite{MR615945}, infinite dimensional diffusion associated with two-parameter Poisson-Dirichlet distribution \cite{MR2596654} and the infinitely-many-alleles model with symmetric dominance \cite{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.

Keywords

Cite

@article{arxiv.1307.0883,
  title  = {Ergodic Inequality of Three Population Genetic Models},
  author = {Youzhou Zhou},
  journal= {arXiv preprint arXiv:1307.0883},
  year   = {2013}
}

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9 pages