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.
|Original language||English (US)|
|Number of pages||28|
|Journal||Israel Journal of Mathematics|
|State||Published - Sep 1 2016|
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