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arXiv 2011-05-12 2 views

Local dimensions of measures on self-affine sets

Falconer, K. J. · Miao, Jun Jie

Original · EN

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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