{ "id": "math/0007042", "version": "v1", "published": "2000-07-07T09:12:34.000Z", "updated": "2000-07-07T09:12:34.000Z", "title": "Critical exponents, conformal invariance and planar Brownian motion", "authors": [ "Wendelin Werner" ], "comment": "review paper (congress proceedings), 18 pages, 2 figures", "categories": [ "math.PR" ], "abstract": "In this review paper, we first discuss some open problems related to two-dimensional self-avoiding paths and critical percolation. We then review some closely related results (joint work with Greg Lawler and Oded Schramm) on critical exponents for two-dimensional simple random walks, Brownian motions and other conformally invariant random objects.", "revisions": [ { "version": "v1", "updated": "2000-07-07T09:12:34.000Z" } ], "analyses": { "subjects": [ "60J65", "82B43", "82B27" ], "keywords": [ "planar brownian motion", "critical exponents", "conformal invariance", "two-dimensional simple random walks", "conformally invariant random objects" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2000math......7042W" } } }