40 citations · 100 across the 4 of their papers we have counts for
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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…
SLE(κ,ρ) martingales and duality
Julien Dubedat
Various features of the two-parameter family of Schramm-Loewner evolutions SLE(κ,ρ) are studied. In particular, we derive certain restriction properties that lead to a ``strong dua…
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…
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…