Baker, Simon (2019) Exceptional digit frequencies and expansions in non-integer bases. Monatshefte fur Mathematik, 190 . pp. 1-31. doi:10.1007/s00605-019-01311-8

Preview	PDF WRAP-exceptional-digit-frequencies-expansions-non-integer-bases-Baker-2019.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons Attribution 4.0. Download (449Kb) | Preview
	PDF WRAP-exceptional-digit-frequencies-expansions-non-integer-bases-Baker-2019.pdf - Accepted Version Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer. Download (689Kb)

Request Changes to record.

Abstract

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

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title:	Monatshefte fur Mathematik
Publisher:	Springer Vienna
ISSN:	0026-9255
Official Date:	September 2019
Dates:	Date Event September 2019 Published 13 June 2019 Available 10 June 2019 Accepted
Volume:	190
Page Range:	pp. 1-31
DOI:	10.1007/s00605-019-01311-8
Status:	Peer Reviewed
Publication Status:	Published
Reuse Statement (publisher, data, author rights):	This is a post-peer-review, pre-copyedit version of an article published in Monatshefte fur Mathematik. The final authenticated version is available online at: http://dx.doi.org/[insert DOI]”.
Access rights to Published version:	Open Access
Related URLs:	Publisher
Open Access Version:	ArXiv

Request changes or add full text files to a record

Repository staff actions (login required)

View Item