SLE and triangles
Abstract
Description
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.
17 pages, 9 figures. Minor revisions, one additional section
17 pages, 9 figures. Minor revisions, one additional section