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We consider chordal SLE(kappa) curves for kappa > 4, where the intersection of the curve with the boundary is a random fractal of almost sure Hausdorff dimension min {2-8/kappa,1}.
Geometric and fractal properties of Brownian motion and random walk paths in two and three dimensions
Gregory F. Lawler · 1999
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Fine structure of harmonic measure
Nikolai Makarov · 1999
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Continuous martingales and Brownian motion
Daniel Revuz and Marc Yor · 1999
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Intersection probabilities for a chordal SLE path and a semicircle
Tom Alberts and Michael J. Kozdron · 2008
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Hausdorff dimension of the SLE curve intersected with the real line
Tom Alberts and Scott Sheffield · 2008
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The dimension of the SLE curves
Vincent Beffara · 2008
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Harmonic measure and SLE
Dmitry Beliaev and Stanislav Smirnov · 2009
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Multifractal analysis of the reverse flow for the Schramm-Loewner evolution
Gregory F. Lawler · 2009
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Collisions and spirals of Loewner traces
Joan Lind, Donald E. Marshall, and Steffen Rohde · 2010
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Boundary proximity of SLE
Oded Schramm and Wang Zhou · 2010
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The covariant measure of SLE on the boundary
Tom Alberts and Scott Sheffield · 2011
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Optimal Hölder exponent for the SLE path
Fredrik Johansson Viklund and Gregory F. Lawler · 2011
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Almost sure multifractal spectrum for the tip of an SLE curve
Fredrik Johansson Viklund and Gregory F. Lawler · 2012
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Almost sure multifractal spectrum of SLE
Ewain Gwynne, Jason Miller, and Xin Sun · 2014
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Minkowski content of the intersection of a Schramm-Loewner evolution (SLE) curve with the real line
Gregory F. Lawler · 2014
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Intersections of SLE paths: the double and cut point dimension of SLE
Jason Miller and Hao Wu · 2014
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