Intersection probabilities for a chordal SLE path and a semicircle

Tom Alberts; Michael J. Kozdron

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arXiv · 0707.3163

Intersection probabilities for a chordal SLE path and a semicircle

Tom Alberts·Michael J. Kozdron

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Abstract

We derive a number of estimates for the probability that a chordal SLE path in the upper half plane H intersects a semicircle centred on the real line. We prove that if 0 0 of radius rx, 0 0. For 4<kappa<8, we also estimate the probability that an entire semicircle on the real line is swallowed at once by a chordal SLE path in H from 0 to infinity.

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Tom Alberts, Michael J. Kozdron. 2008-03-07. Intersection probabilities for a chordal SLE path and a semicircle. https://arxiv.org/abs/0707.3163

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