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arXiv · 1211.0454

Local dimensions for the random beta-transformation

Karma Dajani·Charlene Kalle
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Abstract

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.

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Karma Dajani, Charlene Kalle. 2012-11-02. Local dimensions for the random beta-transformation. https://arxiv.org/abs/1211.0454

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