Polynomial decay of correlations in linked-twist maps

  • J. SPRINGHAM, R. STURMAN
  • Ergodic Theory and Dynamical Systems, April 2013, Cambridge University Press
  • DOI: 10.1017/etds.2013.8

Mixing rates for a simple model of industrial mixing device

What is it about?

We study the mixing behaviour of a simple model underpinning the action of a wide range of fluid mixing device. We prove rigorously that the rate of mixing follows a power law, using powerful techniques from ergodic theory.

Why is it important?

Proving rigorous results about the rates of mixing for dynamical systems is challenging. This paper achieves this for a physically important system, and is unusual in the literature as the system in question is two-dimensional, area-preserving and non-uniformly hyperbolic.

Perspectives

Rob Sturman
University of Leeds

Linked twist maps are an archetypal generalisation of the Arnold Cat Map, a fundamental model of uniform hyperbolicity.

Read Publication

http://dx.doi.org/10.1017/etds.2013.8

The following have contributed to this page: Rob Sturman