Convergence and nonconvergence of scaled self-interacting random walks to Brownian motion perturbed at extrema

DOI10.1214/23-aop1629arXiv2208.02589OpenAlexW4386746844MaRDI QIDQ6142947

Jonathon Peterson, Elena Kosygina, Thomas S. Mountford

Publication date: 23 January 2024

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.02589

zbMATH Keywords

functional limit theoremself-interacting random walksRay-Knight theoremsbranching-like processesBrownian motion perturbed at its extrema

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

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