English

SLE and triangles

Probability 2007-05-23 v2

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. Consequences for limiting probabilities of events concerning various critical plane discrete models are then examined.

Keywords

Cite

@article{arxiv.math/0212008,
  title  = {SLE and triangles},
  author = {Julien Dubedat},
  journal= {arXiv preprint arXiv:math/0212008},
  year   = {2007}
}

Comments

17 pages, 9 figures. Minor revisions, one additional section