{ "id": "1101.1554", "version": "v2", "published": "2011-01-07T23:24:22.000Z", "updated": "2011-06-20T00:38:51.000Z", "title": "Champagne subregions of the unit disc", "authors": [ "Joanna Pres" ], "comment": "revised arguments, results unchanged", "categories": [ "math.CA" ], "abstract": "This paper concerns harmonic measure on the domains that arise when infinitely many disjoint closed discs are removed from the unit disc. It investigates which configurations of discs are unavoidable for Brownian motion, and obtains refinements of related results of Akeroyd, and of Ortega-Cerd\\`{a} and Seip.", "revisions": [ { "version": "v2", "updated": "2011-06-20T00:38:51.000Z" } ], "analyses": { "subjects": [ "31A15", "31A25" ], "keywords": [ "unit disc", "champagne subregions", "paper concerns harmonic measure", "disjoint closed discs", "brownian motion" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1101.1554P" } } }