Igor Loutsenko, Oksana Yermolayeva
Levy-Loewner evolution is a generalization of the Schramm-Loewner evolution where the branching is possible in course of growth process. We define a class of radial Levy-Loewner evolutions for which sets of points of the average means beta-spectrum can be found exactly. These are Loewner evolutions driven by Levy processes with N first fourier coefficients of probability distribution corresponding to those of the Brownian motion at a countable number of special values of temperature, while the rest of coefficients remains free.
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http://arxiv.org/abs/1301.6508
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