83 citations · 469 across the 16 of their papers we have counts for
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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★ 40 cited
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…
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…