Scaling of Percolation on Infinite Planar Maps, I

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dc.creatorAngel, Omer
dc.date2005-01-01
dc.date.accessioned2026-07-07T05:15:45Z
dc.date.available2026-07-07T05:15:45Z
dc.descriptionWe consider several aspects of the scaling limit of percolation on random planar triangulations, both finite and infinite. The equivalents for random maps of Cardy's formula for the limit under scaling of various crossing probabilities are given. The limit probabilities are expressed in terms of simple events regarding Airy-Levy processes. Some explicit formulas for limit probabilities follow from this relation by applying known results on stable processes. Conversely, natural symmetries of the random maps imply identities concerning the Airy-Levy processes.
dc.description28 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0501006
dc.identifierhttp://arxiv.org/abs/math/0501006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73741
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K37 (Primary) 60K35, 05C80 (Secondary)
dc.titleScaling of Percolation on Infinite Planar Maps, I
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