An application of Jacobi's elliptic functions to asymptotic probabilities for conformal restriction measures

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dc.creatorBauer, Robert O.
dc.date2006-10-26
dc.date.accessioned2026-07-07T07:29:29Z
dc.date.available2026-07-07T07:29:29Z
dc.descriptionWe show that for the conformal restriction measure with exponent $b$ in the unit disk on hulls $γ$ connecting $e^{ix}$ to 1 the probability of the event that $γ$ avoids the disk of radius $q$ centered at zero decays like $\exp(-bπx/(1-q))$ if either $b\in[5/8,1]\cup[5/4,\infty)$ and $x\in(0,π]$, or if $b\in(1,5/4)$, $x\in(0,π)$, and $bx\leπ$.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0610805
dc.identifierhttp://arxiv.org/abs/math/0610805
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118128
dc.subjectProbability
dc.subjectComplex Variables
dc.subject60K35, 60H30
dc.titleAn application of Jacobi's elliptic functions to asymptotic probabilities for conformal restriction measures
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