Title: A weakly mixing tiling dynamical system with a smooth model

Authors: Thomas L. Fitzkee, Kevin G. Hockett & E. Arthur Robinson, Jr.

Preprint: GWUM-1999-07 

Abstract:We describe a weakly mixing 1-dimensional tiling dynamical system in which the tiling space is modeled by a surface M of genus 2. The tiling system satisfies an inflation, and the inflation map is modeled by a pseudo-Anosov diffeomorphism D on M. The expansion coefficient t for D is a non-Pisot number. In particular, the leaves of the expanding foliation for D are tiled by their visits to the elements of a Markov partition for D. The tiling dynamical system is an almost 1:1 extension of the unit speed flow along these leaves.