Multifractal formalism for almost all self-affine measures

preprint2012arXivOpen access

Abstract

We conduct the multifractal analysis of self-affine measures for "almost all" family of affine maps. Besides partially extending Falconer's formula of LqL^q-spectrum outside the range 1<q≤21< q\leq 2, the multifractal formalism is also partially verified.

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