Nondegenerate 𝑞-biresolving textile systems and expansive automorphisms of onesided full shifts

Nasu, Masakazu

doi:10.1090/S0002-9947-05-03800-6

Nondegenerate $q$-biresolving textile systems and expansive automorphisms of onesided full shifts
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Trans. Amer. Math. Soc. 358 (2006), 871-891 Request permission

Abstract:

We study nondegenerate, $q$-biresolving textile systems and using properties of them, we prove a conjecture of Boyle and Maass on arithmetic constraints for expansive automorphisms of onesided full shifts and positively expansive endomorphisms of mixing topological Markov shifts. A similar result is also obtained for expansive leftmost-permutive endomorphisms of onesided full shifts.

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