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Critical Percolation in Annuli and SLE 6

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Abstract

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 crossing probability of an annulus.

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Correspondence to Julien Dubédat.

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Communicated by A. Kupiainen

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Dubédat, J. Critical Percolation in Annuli and SLE 6 . Commun. Math. Phys. 245, 627–637 (2004). https://doi.org/10.1007/s00220-003-1029-8

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