Eventual extensions of finite codes

Author:

Boyle Mike

Abstract

Suppose S S and T T are shift equivalent mixing shifts of finite type, and f f is a conjugacy from a subsystem of S S to a subsystem of T T . Then for any sufficiently large n n , f f extends to a conjugacy of S n {S^n} and T n {T^n} . A consequence of the proof is a fortified version of Wagoner’s Stable FOG Theorem.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

1. Lower entropy factors of sofic systems;Boyle, Mike;Ergodic Theory Dynam. Systems,1983

2. M. Boyle, Nasu’s simple automorphisms, Dynamical Systems-Maryland 1986-1987, Proceedings of a Special Year, ed. J. Alexander, Lecture Notes in Math., vol. 1342, Springer.

3. Periodic points and automorphisms of the shift;Boyle, Mike;Trans. Amer. Math. Soc.,1987

4. The automorphism group of a shift of finite type;Boyle, Mike;Trans. Amer. Math. Soc.,1988

5. Resolving maps and the dimension group for shifts of finite type;Boyle, Mike;Mem. Amer. Math. Soc.,1987

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5. Almost Markov and shift equivalent sofic systems;Dynamical Systems;1988

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