Local dimensions for the random beta-transformation

2012/11/02 by Dajani, Karma, Kalle, Charlene
#11K16 #37A05 #37C45 #42A85 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1211.0454

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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