Local dimensions for the random beta-transformation
classification
🧮 math.DS
keywords
localbernoullibeta-transformationconvolutiondimensioninvariantmeasureprojection
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.