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Some remarks on SLE bubbles and Schramm's two-point observable
[article]
2011
arXiv
pre-print
Simmons and Cardy recently predicted a formula for the probability that the chordal SLE(8/3) path passes to the left of two points in the upper half-plane. In this paper we give a rigorous proof of their formula. Starting from this result, we derive explicit expressions for several natural connectivity functions for SLE(8/3) bubbles conditioned to be of macroscopic size. By passing to a limit with such a bubble we construct a certain chordal restriction measure and in this way obtain a proof of
arXiv:1012.5206v2
fatcat:a3baojvcanc4bdur6yulhlahuy