Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Exceptional digit frequencies and expansions in non-integer bases

Tools
- Tools
+ Tools

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 ISSN 0026-9255.

[img]
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
[img] 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)
Official URL: https://doi.org/10.1007/s00605-019-01311-8

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:
DateEvent
September 2019Published
13 June 2019Available
10 June 2019Accepted
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 (Creative Commons)
Date of first compliant deposit: 12 June 2019
Date of first compliant Open Access: 3 July 2019
Related URLs:
  • Publisher
Open Access Version:
  • ArXiv

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us