Sle(κ, Ρ) Martingales and Duality

@inproceedings{Dubdat2005SleM,
  title={Sle(κ, Ρ) Martingales and Duality},
  author={Julien Dub{\'e}dat},
  year={2005}
}
  • Julien Dubédat
  • Published 2005
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. 1. Introduction. Stochastic (or Schramm) Loewner evolutions (SLEs) are stochastic increasing families of plane compact sets. Loewner showed how to parametrize… CONTINUE READING
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