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- Alberts, Tom, et al.
(author)
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A Dimension Spectrum for SLE Boundary Collisions
- 2016
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In: Communications in Mathematical Physics. - : Springer-Verlag New York. - 0010-3616 .- 1432-0916. ; 343:1, s. 273-298
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Journal article (peer-reviewed)abstract
- We consider chordal SLE curves for , where the intersection of the curve with the boundary is a random fractal of almost sure Hausdorff dimension . We study the random sets of points at which the curve collides with the real line at a specified "angle" and compute an almost sure dimension spectrum describing the metric size of these sets. We work with the forward SLE flow and a key tool in the analysis is Girsanov's theorem, which is used to study events on which moments concentrate. The two-point correlation estimates are proved using the direct method.
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