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Cerbelli and Giona's map is pseudo-Anosov and nine consequences
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MacKay, R. S.. (2006) Cerbelli and Giona's map is pseudo-Anosov and nine consequences. Journal of Nonlinear Science, Vol.16 (No.4). pp. 415-434. ISSN 0938-8974
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Official URL: http://dx.doi.org/10.1007/s00332-005-0743-0
Abstract
It is shown that a piecewise affine area-preserving homeomorphism of the 2-torus studied by Cerbelli and Giona is pseudo-Anosov. This enables one to prove various of their conjectures, quantify the multifractality of its "w-measures," calculate many other quantities for its dynamics, and construct an exact area-preserving tilt map of the cylinder with proved diffusive behaviour.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics T Technology > TJ Mechanical engineering and machinery Q Science > QC Physics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Journal of Nonlinear Science |
| Publisher: | Springer New York LLC |
| ISSN: | 0938-8974 |
| Date: | August 2006 |
| Volume: | Vol.16 |
| Number: | No.4 |
| Number of Pages: | 20 |
| Page Range: | pp. 415-434 |
| Identification Number: | 10.1007/s00332-005-0743-0 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/33238 |
Data sourced from Thomson Reuters' Web of Knowledge
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