2002/12/31 by Julien Dubedat
Mathematics · #math.PR #msc:60K35 #msc:82B20 #msc:82B43
published as Electr. Comm. Probab. 8 (2003), 28--42 · 17 pages, 9 figures. Minor revisions, one additional section
arxiv created 2003/06/03 · arxiv updated 2009/11/30
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. Consequences for limiting probabilities of events concerning various critical plane discrete models are then examined.