Open Access
2003 SLE and Triangles
Julien Dubédat
Author Affiliations +
Electron. Commun. Probab. 8: 28-42 (2003). DOI: 10.1214/ECP.v8-1067

Abstract

By analogy with Carleson's observation on Cardy's formula describing crossing probabilities for the scaling limit of critical percolation, we exhibit ``privileged geometries'' for Stochastic Loewner Evolutions with various parameters, for which certain hitting distributions are uniformly distributed. We then examine consequences for limiting probabilities of events concerning various critical plane discrete models.

Citation

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Julien Dubédat. "SLE and Triangles." Electron. Commun. Probab. 8 28 - 42, 2003. https://doi.org/10.1214/ECP.v8-1067

Information

Accepted: 10 March 2003; Published: 2003
First available in Project Euclid: 18 May 2016

zbMATH: 1061.60104
MathSciNet: MR1961287
Digital Object Identifier: 10.1214/ECP.v8-1067

Subjects:
Primary: 60K35
Secondary: 82B20 , 82B43

Keywords: Stochastic Loewner Evolution. FK percolation. Double domino tilings. Uniform spanning tree

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