Journal
JOURNAL OF NONLINEAR SCIENCE
Volume 16, Issue 4, Pages 415-434Publisher
SPRINGER
DOI: 10.1007/s00332-005-0743-0
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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.
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