The configurational measure on mutually avoiding SLE paths

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dc.creatorKozdron, Michael J.
dc.creatorLawler, Gregory F.
dc.date2006-05-07
dc.date2006-06-07
dc.date.accessioned2026-07-07T13:14:44Z
dc.date.available2026-07-07T13:14:44Z
dc.descriptionWe define multiple chordal SLEs in a simply connected domain by considering a natural configurational measure on paths. We show how to construct these measures so that they are conformally covariant and satisfy certain boundary perturbation and Markov properties, as well as a cascade relation. As an example of our construction, we derive the scaling limit of Fomin's identity in the case of two paths directly; that is, we prove that the probability that an SLE(2) and a Brownian excursion do not intersect can be given in terms of the determinant of the excursion hitting matrix. Finally, we define the lambda-SAW, a one-parameter family of measures on self-avoiding walks on Z^2.
dc.descriptionv2: 29 pages, 4 figures; fixed minor typos, updated references
dc.identifierhttps://arxiv.org/abs/math/0605159
dc.identifierhttp://arxiv.org/abs/math/0605159
dc.identifierFields Institute Communications, volume 50, pages 199-224, 2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230265
dc.subjectProbability
dc.subject60G50 (Primary), 60J45, 60J65 (Secondary)
dc.titleThe configurational measure on mutually avoiding SLE paths
dc.typetext

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