arXiv:math/0303128 Abstract

arXiv:math/0303128 [math.PR]Abstract References Reviews Resources

SLE(κ,ρ) martingales and duality

Published 2003-03-11, updated 2005-04-06Version 3

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.

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

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

DOI: 10.1214/009117904000000793

Categories: math.PR, math-ph, math.MP

Subjects: 60G17, 60G52, 60K35

Keywords: martingales, outer boundary, strong duality, schramm-loewner evolutions, restriction properties

Tags: journal article

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