Asymptotic behaviour of an infinitely-many-alleles diffusion with symmetric overdominance
This paper considers the limiting distribution of πλ,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,θ indicates that there are countably many phase transitions for the limiting distribution of πλ,θ, and the critical points are λ=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.
Year of publication: |
2014
|
---|---|
Authors: | Zhou, Youzhou |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 124.2014, 8, p. 2771-2798
|
Publisher: |
Elsevier |
Subject: | Homozygosity | Phase transition | Overdominant selection |
Saved in:
Online Resource
Saved in favorites
Similar items by subject
-
Drechsler, Martin, (2007)
-
Spatial risk measures and their local specification: The locally law-invariant case
Föllmer, Hans, (2014)
-
Inhomogeneous long-range percolation for real-life network modeling
Deprez, Philippe, (2015)
- More ...