Abstract
The Schramm-Loewner evolution (SLE) is a probability measure on random fractal curves that arise as scaling limits of two-dimensional statistical physics systems. In this paper we survey some results about the Hausdorff dimension and Minkowski content of ${\rm SLE}_\kappa$ paths and then extend the recent work on Minkowski content to the intersection of an SLE path with the real line.
Citation
Gregory F. LAWLER. "Minkowski content of the intersection of a Schramm-Loewner evolution (SLE) curve with the real line." J. Math. Soc. Japan 67 (4) 1631 - 1669, October, 2015. https://doi.org/10.2969/jmsj/06741631
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