{ "id": "1612.08895", "version": "v1", "published": "2016-12-28T14:25:20.000Z", "updated": "2016-12-28T14:25:20.000Z", "title": "Exact Hausdorff and packing measure of certain Cantor sets, not necessarily self-similar or homogeneous", "authors": [ "Leandro Zuberman" ], "categories": [ "math.CA" ], "abstract": "We compute the exact Hausdorff and packing measures of linear Cantor sets which might not be self similar or homogeneous . The calculation is based on the local behavior of the natural probability measure supported on the sets.", "revisions": [ { "version": "v1", "updated": "2016-12-28T14:25:20.000Z" } ], "analyses": { "subjects": [ "28A78" ], "keywords": [ "exact hausdorff", "packing measure", "necessarily self-similar", "homogeneous", "natural probability measure" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }