Multifractal formalism for almost all self-affine measures

Details Multifractal formalism for almost all self-affine measures Multifractal formalism for almost all self-affine measures

2011-10-30

arxiv.org/abs/1110.6578v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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