Abstract
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.
Research supported by National Science Foundation grant DMS-0734151.
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Dedicated to the memory of Oded Schramm without whom this paper would not exist.
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© 2009 Birkhäuser Verlag Basel/Switzerland
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Lawler, G.F. (2009). Multifractal Analysis of the Reverse Flow for the Schramm-Loewner Evolution. In: Bandt, C., Zähle, M., Mörters, P. (eds) Fractal Geometry and Stochastics IV. Progress in Probability, vol 61. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0030-9_3
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DOI: https://doi.org/10.1007/978-3-0346-0030-9_3
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