On the speed of a planar random walk avoiding its past convex hull

Simple item page
dc.creatorZerner, Martin P. W.
dc.date2003-05-31
dc.date.accessioned2026-07-07T04:58:25Z
dc.date.available2026-07-07T04:58:25Z
dc.descriptionWe consider a random walk in the plane which takes steps uniformly distributed on the unit circle centered around the walker's current position but avoids the convex hull of its past positions. This model has been introduced by Angel, Benjamini and Virag. We show a large deviation estimate for the distance of the walker from the origin, which implies that the walker has positive lim inf speed.
dc.description16 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/math/0306006
dc.identifierhttp://arxiv.org/abs/math/0306006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67634
dc.subjectProbability
dc.subject60K35 (Primary) 60G50, 52A22 (Secondary)
dc.titleOn the speed of a planar random walk avoiding its past convex hull
dc.typetext

Files

Collections

arXiv