Multifractal analysis of the reverse flow for the Schramm-Loewner evolution
نویسنده
چکیده
The Schramm-Loewner evolution (SLE) is a one-parameter family of conformally invariant processes that are candidates for scaling limits for two-dimensional lattice models in statistical physics. Analysis of SLE curves requires estimating moments of derivatives of random conformal maps. We show how to use the Girsanov theorem to study the moments for the reverse Loewner flow. As an application, we give a new proof of Beffara’s theorem about the dimension of SLE curves. Mathematics Subject Classification (2000). Primary 60J60; Secondary 37E35, 82B27.
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