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Weiss, Benjamin

Subshifts of finite type and sofic systems. (English) Zbl 0285.28021

Monatsh. Math. 77, 462-474 (1973).
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Cited in 122 Documents

MSC:

28D05 Measure-preserving transformations
54H20 Topological dynamics (MSC2010)
37-XX Dynamical systems and ergodic theory
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\textit{B. Weiss}, Monatsh. Math. 77, 462--474 (1973; Zbl 0285.28021)
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References:

[1] Adler, R. L., andB. Weiss: Similarity of automorphisms of the torus. Memoirs AMS98, 1-43 (1970). · Zbl 0195.06104
[2] Bowen, R.: Topological entropy and axiomA. Global analysis. Proc. Symp. Pure Math.14, 23-41 (1970).
[3] Bowen, R.: Markov partitions for axiomA diffeomorphisms. Amer. J. Math.92, 725-747 (1970). · Zbl 0208.25901
[4] Bowen, R., andO. E. Lanford.III: Zeta functions of restrictions of the shift transformation. Proc. Symp. Pure Math.14, 43-50 (1970). · Zbl 0211.56501
[5] Friedman, N. A., andD. Ornstein: On isomorphisms of weak Bernoulli transformations. Adv. in Math.5, 365-394 (1970). · Zbl 0203.05801
[6] Furstenberg, H.: Stationary processes and prediction theory. Annals of Math. Studies 44. Princeton: 1960. · Zbl 0178.53002
[7] Gantmacher, F. R.: The theory of matrices, Vol. II. English translation: New York 1959. · Zbl 0085.01001
[8] Hirsch, M., J. Palis, C. Pugh andM. Shub: Neighborhoods of hyperbolic sets. Inventiones math.9, 121-134 (1970). · Zbl 0191.21701
[9] Krieger, W.: On the uniqueness of the equilibrium state. (To appear.) · Zbl 0302.28011
[10] Parry, W.: Intrinsic Markov chains. Transactions AMS112, 55-66 (1964). · Zbl 0127.35301
[11] Rokhlin, V. A.: Lectures on entropy theory for transformations with invariant measure. Usp. Math. Nauk22, 3-56 (1967). · Zbl 0174.45501
[12] Rosenblatt, M.: Markov processes. Structure and asymptotic behavior. Grundl. Math. Wiss. 184. Berlin-Heidelberg-New York: Springer. 1971. · Zbl 0236.60002
[13] Sigmund, K.: On dynamical systems with the specification property. Trans. Amer. Math. Soc.188. (To appear.) · Zbl 0286.28010
[14] Sinai, Y. G.: Markov partitions andC-diffeomorphisms. Funct. Anal. Appl.2, 64-89 (1968). · Zbl 0182.55003
[15] Smale, S.: Differentiable dynamical systems. Bulletin AMS73, 747-817 (1967). · Zbl 0202.55202
[16] Weiss, B.: Intrinsically ergodic systems. Bulletin AMS76, 1266-1269 (1970). · Zbl 0218.28011
[17] Williams, B.: Classification of symbol spaces of finite type. Ann. Math. (To appear.) · Zbl 0213.50403
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