Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156573 | Stochastic Processes and their Applications | 2014 | 28 Pages |
Abstract
This paper considers the limiting distribution of πλ,θπλ,θ, the stationary distribution of the infinitely-many-alleles diffusion with symmetric overdominance (Ethier and Kurtz, 1998). In Feng (2009) the large deviation principle for πλ,θπλ,θ indicates that there are countably many phase transitions for the limiting distribution of πλ,θπλ,θ, and the critical points are λ=k(k+1),k≥1λ=k(k+1),k≥1. The asymptotic behaviours at those critical points, however, are unclear. This article provides a definite description of the critical cases.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Youzhou Zhou,