Hausdorff dimensions for SLE_6

dc.creatorBeffara, Vincent
dc.date2002-04-16
dc.date2005-03-30
dc.date.accessioned2026-07-07T04:47:44Z
dc.date.available2026-07-07T04:47:44Z
dc.descriptionWe prove that the Hausdorff dimension of the trace of SLE_6 is almost surely 7/4 and give a more direct derivation of the result (due to Lawler-Schramm-Werner) that the dimension of its boundary is 4/3. We also prove that, for all κ<8, the SLE_κ trace has cut-points.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117904000000072 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0204208
dc.identifierhttp://arxiv.org/abs/math/0204208
dc.identifierAnnals of Probability 2004, Vol. 32, No. 3, 2606-2629
dc.identifierdoi:10.1214/009117904000000072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63836
dc.subjectProbability
dc.subjectComplex Variables
dc.subject60D05, 60G17, 28A80. (Primary)
dc.titleHausdorff dimensions for SLE_6
dc.typetext

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