Recurrence for persistent random walks in two dimensions

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dc.creatorLenci, Marco
dc.date2005-07-20
dc.date.accessioned2026-07-07T09:40:57Z
dc.date.available2026-07-07T09:40:57Z
dc.descriptionWe discuss the question of recurrence for persistent, or Newtonian, random walks in Z^2, i.e., random walks whose transition probabilities depend both on the walker's position and incoming direction. We use results by Toth and Schmidt-Conze to prove recurrence for a large class of such processes, including all "invertible" walks in elliptic random environments. Furthermore, rewriting our Newtonian walks as ordinary random walks in a suitable graph, we gain a better idea of the geometric features of the problem, and obtain further examples of recurrence.
dc.description20 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/math/0507411
dc.identifierhttp://arxiv.org/abs/math/0507411
dc.identifierStoch. Dyn. 7 (2007), no. 1, 53-74
dc.identifierdoi:10.1142/S0219493707001937
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161662
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60G50, 37B20, 60K37, 82C41
dc.titleRecurrence for persistent random walks in two dimensions
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