Publications [#243459] of Richard T. Durrett

Papers Published

1. Durrett, R; Møller, AM, Complete convergence theorem for a competition model, Probability Theory and Related Fields, vol. 88 no. 1 (March, 1991), pp. 121-136, Springer Nature, ISSN 0178-8051 [doi]
   (last updated on 2024/04/18)

   Abstract:
   In this paper we consider a hierarchical competition model. Durrett and Swindle have given sufficient conditions for the existence of a nontrivial stationary distribution. Here we show that under a slightly stronger condition, the complete convergence theorem holds and hence there is a unique nontrivial stationary distribution. © 1991 Springer-Verlag.