Transience of percolation clusters on wedges

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dc.creatorAngel, Omer
dc.creatorBenjamini, Itai
dc.creatorBerger, Noam
dc.creatorPeres, Yuval
dc.date2002-06-12
dc.date.accessioned2026-07-07T04:49:05Z
dc.date.available2026-07-07T04:49:05Z
dc.descriptionWe study random walks on supercritical percolation clusters on wedges in $\Z^3$, and show that the infinite percolation cluster is (a.s.) transient whenever the wedge is transient. This solves a question raised by O. Haggstrom and E. Mossel. We also show that for convex gauge functions satisfying a mild regularity condition, the existence of a finite energy flow on $Z^2$ is equivalent to the (a.s.) existence of a finite energy flow on the supercritical percolation cluster. This solves a question of C. Hoffman.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0206130
dc.identifierhttp://arxiv.org/abs/math/0206130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64293
dc.subjectProbability
dc.subject60J45; 60J15,60K35
dc.titleTransience of percolation clusters on wedges
dc.typetext

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