Strong ergodicity for single-birth processes
Abstract
An explicit and computable criterion for strong ergodicity of single-birth processes is presented. As an application, some sufficient conditions are obtained for strong ergodicity of an extended class of continuous-time branching processes and multi-dimensional Q-processes by comparison methods respectively. Consequently strong ergodicity of the Q-process corresponding to the finite-dimensional Schlögl model is proven.
Permanent link to this document: http://projecteuclid.org/euclid.jap/996986662
Digital Object Identifier: doi:10.1239/jap/996986662
Mathematical Reviews number (MathSciNet): MR1816773
Zentralblatt MATH identifier: 0984.60083
Journal of Applied Probability