Pollicott, Mark and Felton, Philip (2014) Estimating Mahler measures using periodic points for the doubling map. Indagationes Mathematicae, Volume 25 (Number 4). pp. 619-631. doi:10.1016/j.indag.2014.04.002 ISSN 00193577.
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Abstract
The Mahler measure m(P) of a polynomial P is a numerical value which is useful in number theory, dynamical systems and geometry. In this article we show how this can be written in terms of periodic points for the doubling map on the unit interval. This leads to an interesting algorithm for approximating m(P) which we illustrate with several examples.
| Item Type: | Journal Article |
|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics |
| Journal or Publication Title: | Indagationes Mathematicae |
| Publisher: | Elsevier BV |
| ISSN: | 00193577 |
| Official Date: | 27 June 2014 |
| Dates: | Date Event 27 June 2014 Published 14 May 2014 Available |
| Volume: | Volume 25 |
| Number: | Number 4 |
| Page Range: | pp. 619-631 |
| DOI: | 10.1016/j.indag.2014.04.002 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | https://wrap.warwick.ac.uk/67219/ |
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