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

Abstract

We study nondegenerate, q 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.