SLE(κ,ρ) martingales and duality

Details SLE(κ,ρ) martingales and duality SLE(κ,ρ) martingales and duality

2003-03-11

arxiv.org/abs/math/0303128v3

Annals of Probability 2005, Vol. 33, No. 1, 223-243

Mathematics

Probability

Published at http://dx.doi.org/10.1214/009117904000000793 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117904000000793

Various features of the two-parameter family of Schramm-Loewner evolutions
SLE(\kappa,\rho) 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(\kappa) process for
\kappa \ge 4 and a variant of the SLE(16/\kappa) process.

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