Strong limit theorems for a simple random walk on the 2-dimensional comb

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dc.creatorCsaki, E.
dc.creatorCsorgo, M.
dc.creatorFoldes, A.
dc.creatorRevesz, P.
dc.date2009-02-25
dc.date.accessioned2026-07-07T12:46:44Z
dc.date.available2026-07-07T12:46:44Z
dc.descriptionWe study the path behaviour of a simple random walk on the 2-dimensional comb lattice ${\mathbb C}^2$ that is obtained from ${\mathbb Z}^2$ by removing all horizontal edges off the x-axis. In particular, we prove a strong approximation result for such a random walk which, in turn, enables us to establish strong limit theorems, like the joint Strassen type law of the iterated logarithm of its two components, as well as their marginal Hirsch type behaviour.
dc.description30 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0902.4369
dc.identifierhttp://arxiv.org/abs/0902.4369
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221484
dc.subjectProbability
dc.subject60F17; 60G50; 60J65
dc.titleStrong limit theorems for a simple random walk on the 2-dimensional comb
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