Polynomial decay of correlations in linked-twist maps

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.

References in corpus (3)

• Walls Inhibit Chaotic Mixing
• Slow decay of concentration variance due to no-slip walls in chaotic mixing
• Ergodic properties of linked-twist maps

Cited by in corpus (4)

• Frontiers of chaotic advection
• Exponential Mixing by Orthogonal Non-Monotonic Shears
• Optimal bounds for decay of correlations and α-mixing for nonuniformly hyperbolic dynamical systems
• A Continuous Family of Non-Monotonic Toral Mixing Maps