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Factors and extensions of full shifts. (English) Zbl 0432.54036


MSC:

54H20 Topological dynamics (MSC2010)
37C25 Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics
28D20 Entropy and other invariants
54C70 Entropy in general topology
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References:

[1] Adler, R., W. Goodwyn, andB. Weiss: Equivalence of topological Markov shifts. Israel J. Math.27, 49-63 (1977). · Zbl 0362.54034
[2] Bowen, R., andO. Lanford: Zeta functions of restrictions of the shift transformation. Proc. Symp. Pure Math. vol. 14, p. 43-50. Providence, R. I.: Amer. Math. Soc. 1970.
[3] Coven, E., andM. Paul: Endomorphisms of irreducible shifts of finite type. Math. Syst. Th.8, 167-175 (1974). · Zbl 0309.54032
[4] Gantmacher, F.: Theory of Matricies, vol. 2. New York: Chelsea. 1959. · Zbl 0085.01001
[5] Hedlund, G. A.: Endomorphisms and automorphisms of the shift dynamical system. Math. Syst. Th.3, 320-375 (1959). · Zbl 0182.56901
[6] Parry, W.: Intrinsic Markov chains. Trans. Amer. Math. Soc.112, 55-66 (1964). · Zbl 0127.35301
[7] Parry, W., andR. F. Williams: Block Coding and a Zeta Function for Finite Markov Chains. Preprint. · Zbl 0383.94011
[8] Williams, R. F.: Classification of shifts, of finite type. Ann. Math.98, 120-153 (1973); Errata. Ann. Math.99, 380-381 (1974). · Zbl 0282.58008
[9] Walters, P.: Ergodic Theory-Introductory Lectures. Lecture Notes Math. 458. Berlin-Heidelberg-New York: Springer. 1975. · Zbl 0299.28012
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