Complexity and Directional Entropy in Two Dimensions

نویسنده

  • RYAN BRODERICK
چکیده

We study the directional entropy of a dynamical system associated to a Z2 configuration in a finite alphabet. We show that under local assumptions on the complexity, either every direction has zero topological entropy or some direction is periodic. In particular, we show that all nonexpansive directions in a Z2 system with the same local assumptions have zero directional entropy.

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تاریخ انتشار 2014