A weakly mixing tiling dynamical system with a smooth model
نویسندگان
چکیده
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 satis es an in ation, and the in ation map is modeled by a pseudo-Anosov di eomorphism D on M . The expansion coe cient 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 ow along these leaves.
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عنوان ژورنال:
- Theor. Comput. Sci.
دوره 2-3 شماره
صفحات -
تاریخ انتشار 2003