{ "id": "1110.6578", "version": "v2", "published": "2011-10-30T04:11:48.000Z", "updated": "2012-10-17T09:32:06.000Z", "title": "Multifractal formalism for almost all self-affine measures", "authors": [ "Julien Barral", "De-Jun Feng" ], "comment": "Accepted by Comm. Math. Phys", "categories": [ "math.CA" ], "abstract": "We conduct the multifractal analysis of self-affine measures for \"almost all\" family of affine maps. Besides partially extending Falconer's formula of $L^q$-spectrum outside the range $1< q\\leq 2$, the multifractal formalism is also partially verified.", "revisions": [ { "version": "v2", "updated": "2012-10-17T09:32:06.000Z" } ], "analyses": { "keywords": [ "self-affine measures", "multifractal formalism", "spectrum outside", "multifractal analysis", "partially extending falconers formula" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1110.6578B" } } }