Metastability of a random walk with catastrophes

DOI10.1214/19-ECP275zbMath1451.60081arXiv1907.05357OpenAlexW2988442712MaRDI QIDQ2279085

Rinaldo B. Schinazi, Luiz Renato G. Fontes

Publication date: 12 December 2019

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05357

zbMATH Keywords

metastabilityrandom walkcatastrophepopulation model

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Functional limit theorems; invariance principles (60F17)

Related Items (1)

A generating function approach to Markov chains undergoing binomial catastrophes

Cites Work

• Evaluating growth measures in an immigration process subject to binomial and geometric catastrophes
• A random walk with catastrophes
• Stability of Markovian processes II: continuous-time processes and sampled chains
• An interesting random walk on the non-negative integers
• The extinction time of a general birth and death process with catastrophes

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