Maximal irreducibility measure for spatial birth-and-death processes

Viktor Bezborodov and Luca Di Persio

Statistics & Probability Letters, 2017, vol. 125, issue C, 25-32

Abstract: We prove that a spatial birth-and-death process is both ϕ-irreducible and ψ-irreducible under rather general conditions on the birth and death rates. It is also shown that every maximal irreducibility measure is equivalent to the Lebesgue–Poisson measure on the space of finite configuration.

Keywords: Birth-and-death processes; Maximal irreducibility measure; Markov chain; Lebesgue–Poisson measure; ϕ-irreducibility (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1016/j.spl.2017.01.019

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