Some Properties of Annulus SLE

dc.creatorZhan, Dapeng
dc.date2006-07-27
dc.date.accessioned2026-07-07T07:21:04Z
dc.date.available2026-07-07T07:21:04Z
dc.descriptionAn annulus SLE$_κ$ trace tends to a single point on the target circle, and the density function of the end point satisfies some differential equation. Some martingales or local martingales are found for annulus SLE$_4$, SLE$_8$ and SLE$_{8/3}$. From the local martingale for annulus SLE$_4$ we find a candidate of discrete lattice model that may have annulus SLE$_4$ as its scaling limit. The local martingale for annulus SLE$_{8/3}$ is similar to those for chordal and radial SLE$_{8/3}$. But it seems that annulus SLE$_{8/3}$ does not satisfy the restriction property.
dc.description29 pages, no figures, submitted to the Electronic Journal of Probability
dc.identifierhttps://arxiv.org/abs/math/0607720
dc.identifierhttp://arxiv.org/abs/math/0607720
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115172
dc.subjectProbability
dc.titleSome Properties of Annulus SLE
dc.typetext

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