Simple random walk on \(\mathbb{Z}^2\) perturbed on the axes (renewal case)

DOI10.1214/23-ejp969arXiv2210.08850OpenAlexW4386452328MaRDI QIDQ6177519

Pierre Andreoletti, Pierre Debs

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/2210.08850

zbMATH Keywords

ergodic theoremrenewal theoremperturbed random walks

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Other physical applications of random processes (60K40) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Local time and additive functionals (60J55) Random walks on graphs (05C81)

Cites Work

• Unnamed Item
• Random walks in cones
• A local limit theorem for random walks conditioned to stay positive
• Some problems concerning the structure of random walk paths
• Exit times of N-dimensional random walks

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