A NOTE ON THE ASYMPTOTIC BEHAVIOR OF THE HEIGHT FOR A BIRTH-AND-DEATH PROCESS

DOI10.1017/S0269964820000364zbMath1498.60347arXiv1912.07422OpenAlexW3041235417MaRDI QIDQ5051154

Feng Wang, Rui Zhu, Xian Yuan Wu

Publication date: 22 November 2022

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07422

zbMATH Keywords

cutoffbirth-and-death processheight function distribution

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

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• The cutoff phenomenon for ergodic Markov processes
• Walks on generating sets of Abelian groups
• The decay function of nonhomogeneous birth-death processes, with application to mean-field models
• On the expected maximum of a birth-and-death process
• On convergence rate estimates for some birth and death processes
• A simple maximization model inspired by algorithms for the organization of genetic candidates in bacterial DNA
• On the Lower Bound of the Spectrum of Some Mean-Field Models

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