A local limit theorem for random walks in random scenery and on randomly oriented lattices

DOI10.1214/10-AOP606zbMath1238.60028arXiv1002.1878OpenAlexW2963070788MaRDI QIDQ653299

Nadine Guillotin-Plantard, Bruno Schapira, Fabienne Castell, Françoise Pène

Publication date: 9 January 2012

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

Full work available at URL: https://arxiv.org/abs/1002.1878

zbMATH Keywords

local limit theoremstable processrandom walk in random sceneryrandom walk on randomly oriented lattices

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stable stochastic processes (60G52)

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Recurrence and windings of two revolving random walks ⋮ Edgeworth expansions for independent bounded integer valued random variables ⋮ Local limit theorem for a Markov additive process on with a null recurrent internal Markov chain ⋮ Limit theorems for one and two-dimensional random walks in random scenery ⋮ Persistence probabilities for stationary increment processes ⋮ Random walk in a stratified independent random environment ⋮ Limit theorems for additive functionals of random walks in random scenery ⋮ The mean square displacement of random walk on the Manhattan lattice

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