{ "id": "math/0303128", "version": "v3", "published": "2003-03-11T18:15:31.000Z", "updated": "2005-04-06T06:46:41.000Z", "title": "SLE(κ,ρ) martingales and duality", "authors": [ "Julien Dubedat" ], "comment": "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" ], "abstract": "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.", "revisions": [ { "version": "v3", "updated": "2005-04-06T06:46:41.000Z" } ], "analyses": { "subjects": [ "60G17", "60G52", "60K35" ], "keywords": [ "martingales", "outer boundary", "strong duality", "schramm-loewner evolutions", "restriction properties" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math......3128D" } } }