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Cerbelli and Giona's map is pseudo-Anosov and nine consequences
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MacKay, Robert S. (2006) Cerbelli and Giona's map is pseudo-Anosov and nine consequences. Journal of Nonlinear Science, Vol.16 (No.4). pp. 415-434. doi:10.1007/s00332-005-0743-0 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 | ||||
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Subjects: | Q Science > QA Mathematics T Technology > TJ Mechanical engineering and machinery Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Nonlinear Science | ||||
Publisher: | Springer New York LLC | ||||
ISSN: | 0938-8974 | ||||
Official Date: | August 2006 | ||||
Dates: |
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Volume: | Vol.16 | ||||
Number: | No.4 | ||||
Number of Pages: | 20 | ||||
Page Range: | pp. 415-434 | ||||
DOI: | 10.1007/s00332-005-0743-0 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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