{ "id": "0712.3263", "version": "v1", "published": "2007-12-19T19:32:04.000Z", "updated": "2007-12-19T19:32:04.000Z", "title": "Dimension and natural parametrization for SLE curves", "authors": [ "Gregory F. Lawler" ], "categories": [ "math.PR", "math-ph", "math.MP" ], "abstract": "Some possible definitions for the natural parametrization of SLE (Schramm-Loewner evolution) paths are proposed in terms of various limits. One of the definitions is used to give a new proof of the Hausdorff dimension of SLE paths.", "revisions": [ { "version": "v1", "updated": "2007-12-19T19:32:04.000Z" } ], "analyses": { "subjects": [ "60J15", "82B27" ], "keywords": [ "natural parametrization", "sle curves", "definitions", "hausdorff dimension" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0712.3263L" } } }