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Fractal Geometry and Stochastics IVMultifractal Analysis of the Reverse Flow for the Schramm-Loewner Evolution

Fractal Geometry and Stochastics IV: Multifractal Analysis of the Reverse Flow for the... [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.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Fractal Geometry and Stochastics IVMultifractal Analysis of the Reverse Flow for the Schramm-Loewner Evolution

Part of the Progress in Probability Book Series (volume 61)
Editors: Bandt, Christoph; Zähle, Martina; Mörters, Peter
Lawler, Gregory F.
Fractal Geometry and Stochastics IV — Dec 30, 2009
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34 pages

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References (11)

Publisher
Birkhäuser Basel
Copyright
© Birkhäuser Basel 2009
ISBN
978-3-0346-0029-3
Pages
73 –107
DOI
10.1007/978-3-0346-0030-9_3
Publisher site
See Chapter on Publisher Site

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.]

Published: Dec 30, 2009

Keywords: Primary 60J60; Secondary 37E35; 82B27; Schramm-Loewner evolution; multifractal; Hausdorff dimension

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