How big are the increments of the local time of a recurrent random walk?

DOI10.1007/BF00532485zbMath0516.60078OpenAlexW1974690956MaRDI QIDQ3664168

Endre Csáki, Antónia Földes

Publication date: 1983

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00532485

zbMATH Keywords

local time

Mathematics Subject Classification ID

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

Related Items (9)

Random walk local time approximated by a Brownian sheet combined with an independent Brownian motion ⋮ We like to walk on the comb ⋮ Some limit theorems for heights of random walks on a spider ⋮ The narrowest tube of a recurrent random walk ⋮ About the distance between random walkers on some graphs ⋮ Strong approximation of additive functionals ⋮ On the local time of random walk on the 2-dimensional comb ⋮ Maximal local time of a \(d\)-dimensional simple random walk on subsets ⋮ How small are the increments of the local time of a recurrent random walk?

Cites Work

• How big are the increments of the local time of a Wiener process?
• Strong invariance for local times
• A strong law of Erdös-Rényi type for cumulative processes in renewal theory
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