{ "id": "math/0212398", "version": "v1", "published": "2002-12-01T00:00:00.000Z", "updated": "2002-12-01T00:00:00.000Z", "title": "Some highlights of percolation", "authors": [ "Harry Kesten" ], "journal": "Proceedings of the ICM, Beijing 2002, vol. 1, 345--362", "categories": [ "math.PR" ], "abstract": "We describe the percolation model and some of the principal results and open problems in percolation theory. We also discuss briefly the spectacular recent progress by Lawler, Schramm, Smirnov and Werner towards understanding the phase transition of percolation (on the triangular lattice).", "revisions": [ { "version": "v1", "updated": "2002-12-01T00:00:00.000Z" } ], "analyses": { "subjects": [ "60K35", "82B43" ], "keywords": [ "highlights", "percolation model", "principal results", "open problems", "percolation theory" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math.....12398K" } } }