Conditions for recurrence and transience for time-inhomogeneous birth-and-death processes

Vyacheslav M. Abramov

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arXiv · 2212.01722

Conditions for recurrence and transience for time-inhomogeneous birth-and-death processes

Vyacheslav M. Abramov

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Abstract

We derive the conditions for recurrence and transience for time-inhomogeneous birth-and-death processes considered as random walks with positively biased drifts. We establish a general result, from which the earlier known particular results by Menshikov and Volkov [Electron. J. Probab., 13 (2008), paper No. 31, 944--960] follow.

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Vyacheslav M. Abramov. 2022-12-04. Conditions for recurrence and transience for time-inhomogeneous birth-and-death processes. https://arxiv.org/abs/2212.01722

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