On the behavior of random walk around heavy points

DOI10.1007/s10959-007-0092-zzbMath1151.60021arXivmath/0605221OpenAlexW1995490456MaRDI QIDQ2471132

Endre Csáki, Pál Révész, Antónia Földes

Publication date: 18 February 2008

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605221

zbMATH Keywords

Local timeOccupation timeStrong theoremsRandom walk in d-dimension

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (3)

Thick points of random walk and the Gaussian free field ⋮ Asymptotic behaviour of randomly reflecting billiards in unbounded tubular domains ⋮ On the local times of transient random walks

Cites Work

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• Heavy points of a \(d\)-dimensional simple random walk
• The range of transient random walk
• Frequently visited sets for random walks
• Some problems concerning the structure of random walk paths
• Some intersection properties of random walk paths
• Joint asymptotic behavior of local and occupation times of random walk in higher dimension
• Green's Functions for Random Walks on Z^N
• The maximum of the local time of a transient random walk

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