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SLE(κ,ρ) martingales and duality

Julien Dubedat
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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\ge 4 and a variant of the SLE(16/κ) process.

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Julien Dubedat. 2005-04-06. SLE(κ,ρ) martingales and duality. https://doi.org/10.1214/009117904000000793

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