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arXiv · 1212.0889

Polynomial decay of correlations in linked-twist maps

J. Springham·R. Sturman
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Abstract

Linked-twist maps are area-preserving, piece-wise diffeomorphisms, defined on a subset of the torus. They are non-uniformly hyperbolic generalisations of the well-known Arnold Cat Map. We show that a class of canonical examples have polynomial decay of correlations for α-Hölder observables, of order 1/n.

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J. Springham, R. Sturman. 2012-12-04. Polynomial decay of correlations in linked-twist maps. https://doi.org/10.1017/etds.2013.8

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