The Asymptotic Behavior of Local Times of Recurrent Random Walks with Infinite Variance

DOI10.1137/1129041zbMath0557.60055OpenAlexW4241884591MaRDI QIDQ3221140

A. N. Borodin

Publication date: 1985

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1129041

zbMATH Keywords

weak convergencelocal timestable law

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Local time and additive functionals (60J55) Markov processes (60J99)

Related Items (8)

A note on the weak invariance principle for local times ⋮ Quenched trap model for Lévy flights ⋮ Long-range trap models on \(\mathbb Z\) and quasistable processes ⋮ Nonlinear dynamics of continuous-time random walks in inhomogeneous medium ⋮ A local limit theorem for random walks in random scenery and on randomly oriented lattices ⋮ Relative complexity of random walks in random sceneries ⋮ Coupled continuous time-random walks in quenched random environment ⋮ A uniform law for convergence to the local times of linear fractional stable motions

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