Asymptotic behavior of the local time of a recurrent random walk

DOI10.1214/aop/1176993374zbMath0538.60074OpenAlexW2049334638MaRDI QIDQ793441

Naresh C. Jain, William E. Pruitt

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1214/aop/1176993374

zbMATH Keywords

local timerecurrentabsolute potential kernellattice random walkrate of growth of the large values

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Local time and additive functionals (60J55)

Related Items (9)

Moderate deviations and laws of the iterated logarithm for the local times of additive Lévy processes and additive random walks ⋮ Moderate deviations for Markovian occupation times. ⋮ A note on the weak invariance principle for local times ⋮ A local limit theorem for random walks in random scenery and on randomly oriented lattices ⋮ Laws of the iterated logarithm for symmetric stable processes ⋮ Weak invariance principle for the local times of partial sums of Markov chains ⋮ The law of the iterated logarithm for local time of a Lévy process ⋮ An invariance principle for the local time of a recurrent random walk ⋮ Limit laws for the energy of a charged polymer

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