SLE(κ,ρ) martingales and duality
Julien Dubedat
Abstract
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 duality'' conjecture, which is an identity in law between the outer boundary of a variant of the SLE(κ) process for κ 4 and a variant of the SLE(16/κ) process.
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