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arXiv:1211.0454 [math.DS]AbstractReferencesReviewsResources

Local dimensions for the random beta-transformation

Karma Dajani, Charlene Kalle

Published 2012-11-02Version 1

The random beta-transformation K is isomorphic to a full shift. This relation gives an invariant measure for K that yields the Bernoulli convolution by projection. We study the local dimension of the invariant measure for K for special values of beta and use the projection to obtain results on the local dimension of the Bernoulli convolution.

Comments: 19 pages, 3 figures
Categories: math.DS
Subjects: 37A05, 37C45, 11K16, 42A85
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