36 citations · 60 across the 3 of their papers we have counts for
3 papers
math.PR2003★ 24 cited
Critical percolation in annuli and
Julien Dubedat
Building on the identification of the scaling limit of the critical percolation exploration process as a Schramm-Loewner Evolution, we derive a PDE characterization for the crossin…
math.PR2003★ 36 cited
Reflected planar Brownian motions, intertwining relations and crossing probabilities
Julien Dubedat
Prompted by an example arising in critical percolation, we study some reflected Brownian motions in symmetric planar domains and show that they are intertwined with one-dimensional…
math.PR2002
SLE and triangles
Julien Dubedat
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…