Article ID Journal Published Year Pages File Type
1156573 Stochastic Processes and their Applications 2014 28 Pages PDF
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.

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Physical Sciences and Engineering Mathematics Mathematics (General)
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