Local dimensions of measures on self-affine sets

Details Local dimensions of measures on self-affine sets Local dimensions of measures on self-affine sets

2011-05-12

arxiv.org/abs/1105.2411v1

Mathematics

Metric Geometry

Scientific paper

We show that, in a generic setting, self-affine and almost self-affine
measures are exact dimensional, with local dimension equal almost everywhere to
the information dimension and given by the zero of a superadditive pressure
functional.

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