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4 papers · 2 filters
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…
Surface order large deviations for 2d FK-percolation and Potts models
O. Couronne, R. J. Messikh
By adapting the renormalization techniques of Pisztora, we establish surface order large deviations estimates for FK-percolation on with parameter and for the corr…
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…