Recurrence of the twisted planar random walk

Simple item page
dc.creatorHaboeck, U.
dc.date2008-03-05
dc.date.accessioned2026-07-07T09:24:57Z
dc.date.available2026-07-07T09:24:57Z
dc.descriptionWe show that the "twisted" planar random walk - which results by summing up stationary increments rotated by multiples of a fixed angle - is recurrent under diverse assumptions on the increment process. For example, if the increment process is alpha-mixing and of finite second moment, then the twisted random walk is recurrent for every angle fixed choice of the angle out of a set of full Lebesgue measure, no matter how slow the mixing coefficients decay.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0803.0724
dc.identifierhttp://arxiv.org/abs/0803.0724
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156252
dc.subjectDynamical Systems
dc.subjectProbability
dc.subject37A20; 37A25; 37A50; 60G10; 60G50
dc.titleRecurrence of the twisted planar random walk
dc.typetext

Files

Collections

arXiv