Discrete Loewner evolution

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dc.creatorBauer, Robert O.
dc.date2003-03-11
dc.date.accessioned2026-07-07T04:55:55Z
dc.date.available2026-07-07T04:55:55Z
dc.descriptionWe study a one parameter family of discrete Loewner evolutions driven by a random walk on the real line. We show that it converges to the stochastic Loewner evolution (SLE) under rescaling. We show that the discrete Loewner evolution satisfies Markovian-type and symmetry properties analogous to SLE, and establish a phase transition property for the discrete Loewner evolution when the parameter equals 4.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0303119
dc.identifierhttp://arxiv.org/abs/math/0303119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66747
dc.subjectProbability
dc.subjectComplex Variables
dc.subject60F17; 60J05; 30E20
dc.titleDiscrete Loewner evolution
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