Exceptional digit frequencies and expansions in non-integer bases
Research output: Contribution to journal › Article
Colleges, School and Institutes
In this paper we study the set of digit frequencies that are realised by elements of the set of β -expansions. The main result of this paper demonstrates that as β approaches 1, the set of digit frequencies that occur amongst the set of β -expansions fills out the simplex. As an application of our main result, we obtain upper bounds for the local dimension of certain biased Bernoulli convolutions.
|Journal||Monatshefte fur Mathematik|
|Early online date||13 Jun 2019|
|Publication status||Published - 1 Sep 2019|
- Expansions in non-integer bases, Digit frequencies, Bernoulli convolutions