Cerbelli and Giona's map is pseudo-Anosov and nine consequences
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 0938-8974Full text not available from this repository.
Official URL: http://dx.doi.org/10.1007/s00332-005-0743-0
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|
|Official Date:||August 2006|
|Number of Pages:||20|
|Page Range:||pp. 415-434|
|Access rights to Published version:||Restricted or Subscription Access|
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