Random walk in a birth-and-death dynamical environment

DOI10.1214/23-ejp1060arXiv2211.02154MaRDI QIDQ6177523

Maicon A. Pinheiro, Luiz Renato G. Fontes, Pablo A. Gomes

Publication date: 17 January 2024

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

Full work available at URL: https://arxiv.org/abs/2211.02154

zbMATH Keywords

law of large numberscentral limit theoremrandom walk in random environmentspace-time random environmentbirth-and-death environment

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Processes in random environments (60K37)

Cites Work

• Random walks in dynamic random environments: a transference principle
• Scaling of a random walk on a supercritical contact process
• Law of large numbers for a class of random walks in dynamic random environments
• Random walks on dynamical random environments with nonuniform mixing
• Random walk in Markovian environment
• Large deviations for random walk in a space-time product environment
• Almost-sure central limit theorem for a Markov model of random walk in dynamical random environment
• Random walks with strongly inhomogeneous rates and singular diffusions: Convergence, localization and aging in one dimension
• Random walk on the simple symmetric exclusion process
• Scaling limit for trap models on \(\mathbb Z^d\)
• Random walks generated by equilibrium contact processes
• The Classification of Birth and Death Processes
• Cutpoints and Exchangeable Events for Random Walks
• Complete Convergence and the Law of Large Numbers
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