{ "id": "0911.3876", "version": "v1", "published": "2009-11-19T19:34:07.000Z", "updated": "2009-11-19T19:34:07.000Z", "title": "Hausdorff Dimension of Cantor Series", "authors": [ "G. Iommi", "B. Skorulski" ], "comment": "7 pages", "categories": [ "math.DS", "math.NT" ], "abstract": "In 1996 Y. Kifer obtained a variational formula for the Hausdorff dimension of the set of points for which the frequencies of the digits in the Cantor series expansion is given. In this note we present a slightly different approach to this problem that allow us to solve the variational problem of Kifer's formula.", "revisions": [ { "version": "v1", "updated": "2009-11-19T19:34:07.000Z" } ], "analyses": { "subjects": [ "37A45", "11K55", "37H99" ], "keywords": [ "hausdorff dimension", "cantor series expansion", "variational formula", "variational problem", "kifers formula" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0911.3876I" } } }