Discrete Loewner evolution

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We 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.
21 pages

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Probability, Complex Variables, 60F17; 60J05; 30E20

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http://salesiana.dossiersoluciones.com/handle/123456789/66747

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303119
 http://arxiv.org/abs/math/0303119

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arXiv