arXiv:1212.0889 Abstract | arXiv Analytics

arXiv:1212.0889 [math.DS]Abstract References Reviews Resources

Polynomial decay of correlations in linked-twist maps

Published 2012-12-04Version 1

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 \alpha-H\"{o}lder observables, of order 1/n.

Categories: math.DS, nlin.CD

Keywords: polynomial decay, linked-twist maps, correlations, well-known arnold cat map, non-uniformly hyperbolic generalisations

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