Classification of symbol spaces of finite type
Author:
R. F. Williams
Journal:
Bull. Amer. Math. Soc. 77 (1971), 439-443
MSC (1970):
Primary 58F15, 58F20, 54H20
DOI:
https://doi.org/10.1090/S0002-9904-1971-12731-3
MathSciNet review:
0300263
Full-text PDF Free Access
References | Similar Articles | Additional Information
- 0. V. Alekseev, Quasirandom dynamical systems. I, II, III, Mat. Sb. 76 (118) (1968), 72-134 = Math. USSR Sb. 5 (1968), 73-128; ibid. 77 (119) (1968), 545-601 = ibid. 6 (1968), 505-560; ibid. 78 (120) (1969), 3-50 = ibid. 7 (1969), 1-43.
- 1. Rufus Bowen, Markov partitions for Axiom 𝐴 diffeomorphisms, Amer. J. Math. 92 (1970), 725–747. MR 277003, https://doi.org/10.2307/2373370
- 2. Rufus Bowen, Topological entropy and axiom 𝐴, Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968), Amer. Math. Soc., Providence, R.I., 1970, pp. 23–41. MR 0262459
- 3. R. Bowen and O. E. Lanford III, Zeta functions of restrictions of the shift transformation, Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968), Amer. Math. Soc., Providence, R.I., 1970, pp. 43–49. MR 0271401
- 4. F. Gantmacher, The theory of matrices, GITTL, Moscow, 1953; English transl., vol. 2, Chelsea, New York, 1959. MR 16, 438; MR 21 #6372c.
- 5. G. A. Hedlund, Endomorphisms and automorphisms of the shift dynamical system, Math. Systems Theory 3 (1969), 320–375. MR 0259881, https://doi.org/10.1007/BF01691062
- 6. Harold Marston Morse, A One-to-One Representation of Geodesics on a Surface of Negative Curvature, Amer. J. Math. 43 (1921), no. 1, 33–51. MR 1506428, https://doi.org/10.2307/2370306
- 7. William Parry, Entropy and generators in ergodic theory, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0262464
- 8. William Parry, Intrinsic Markov chains, Trans. Amer. Math. Soc. 112 (1964), 55–66. MR 161372, https://doi.org/10.1090/S0002-9947-1964-0161372-1
- 9. Ja. G. Sinaĭ, Markov partitions and U-diffeomorphisms, Funkcional. Anal. i Priložen 2 (1968), no. 1, 64–89 (Russian). MR 0233038
- 10. Stephen Smale, Diffeomorphisms with many periodic points, Differential and Combinatorial Topology (A Symposium in Honor of Marston Morse), Princeton Univ. Press, Princeton, N.J., 1965, pp. 63–80. MR 0182020
- 11. R. F. Williams, Classification of one dimensional attractors, Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968), Amer. Math. Soc., Providence, R.I., 1970, pp. 341–361. MR 0266227
- 12. R. F. Williams, Classification of symbol spaces of finite type, Bull. Amer. Math. Soc. 77 (1971), 439–443. MR 300263, https://doi.org/10.1090/S0002-9904-1971-12731-3
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9904-1971-12731-3
