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 Electronic Communications in Probability > Vol. 8 (2003) > Paper 4 open journal systems 


SLE and Triangles

Julien Dubédat, Université Paris-Sud


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.


Full text: PDF

Pages: 28-42

Published on: March 10, 2003
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Electronic Communications in Probability. ISSN: 1083-589X