Topological completely positive entropy is no simpler in \mathbb Z²-SFTs

2019/04/25 by Westrick, Linda
#Dynamical Systems (math.DS) #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.1904.11444

Abstract

We construct Z²-SFTs at every computable level of the hierarchy of topological completely positive entropy (TCPE), answering Barbieri and García-Ramos, who asked if there was one at level 3. Furthermore, we show the property of TCPE in Z²-SFTs is coanalytic complete. Thus there is no simpler description of TCPE in Z²-SFTs than in the general case.

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