Maximal irreducibility measure for spatial birth-and-death processes

Abstract

We prove that under certain general conditions on the birth and death rates the Lebesgue-Poisson measure is a maximal irreducibility measure for the spatial birth-and-death process.

References in corpus (2)

• A microscopic probabilistic description of a locally regulated population and macroscopic approximations
• Spatial birth and death processes as solutions of stochastic equations

Cited by in corpus (1)

• Spatial birth-and-death processes with a finite number of particles