Markov partitions of hyperbolic sets

Masahiro KURATA

doi:10.2969/jmsj/03110039

Masahiro KURATA

著者情報

ジャーナルフリー

1979 年 31 巻 1 号 p. 39-51

DOI https://doi.org/10.2969/jmsj/03110039

詳細

Published: 1979 Received: 1977/02/22 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 所属機関情報訂正内容: 訂正前 :
1) Department of Mathematics Faculty of Science Hokkaido University
2) Department of Mathematics Nagoya Iustitute of Technology

訂正後 :
1) Department of Mathematics Faculty of Science Hokkaido University
2) Department of Mathematics Nagoya Institute of Technology

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) R. Bowen, Markov partitions for Axiom A diffeomorphisms, Amer. J. Math., 92 (1970), 725-747.
2) R. Bowen, Markov partitions and minimal sets for Axiom A diffeomorphisms, Amer. J. Math., 92 (1970), 907-918.
3) R. Bowen, ω-limit sets for Axiom A diffeomorphisms, J. Differential Equations, 8, (1975), 333-339.
4) R. Bowen, “Equilibrium States and Ergodic Theory of Anosov Diffeomorphisms,” Lecture Notes in Mathematics, Vol. 470, Springer-Verlag, New York, 1975.
5) R. Bowen and O. E. Lanford III, Zeta functions of restrictions of the shift transformation, Proc. Symp. Pure Math., Amer. Math. Soc., 14 (1970), 43-49.
6) M. Hirsch and C. Pugh, Stable manifolds and hyperbolic sets, Proc. Symp. Pure Math., Amer. Math. Soc., 14 (1970), 133-163.
7) M. Kurata, Hartman's theorem for hyperbolic sets, Nagoya Math. J., 67 (1977), 41-52.
8) A. Manning, Axiom A diffeomorphisms have rational zeta functions, Bull. London Math. Soc., 3 (1971), 215-220.
9) Ja. G. Sinai, Markov partitions and C-diffeomorphisms, Functional Anal. Appl., 2 (1968) no. 1, 61-82.
10) Ja. G. Sinai, Construction of Markov partitions, Functional Anal. Appl., 2 (1968) no. 2, 70-80.
11) Ja. G. Sinai, Gibbs measures in ergodic theory, Russian Math. Surveys, 27 (1972), 21-69.
12) S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc., 73 (1967), 747-817.

Right : [1] R. Bowen, Markov partitions for Axiom A diffeomorphisms, Amer. J. Math., 92 (1970), 725-747.
[2] R. Bowen, Markov partitions and minimal sets for Axiom A diffeomorphisms, Amer. J. Math., 92 (1970), 907-918.
[3] R. Bowen, ω-limit sets for Axiom A diffeomorphisms, J. Differential Equations, 8, (1975), 333-339.
[4] R. Bowen, “Equilibrium States and Ergodic Theory of Anosov Diffeomorphisms,” Lecture Notes in Mathematics, Vol. 470, Springer-Verlag, New York, 1975.
[5] R. Bowen and O. E. Lanford III, Zeta functions of restrictions of the shift transformation, Proc. Symp. Pure Math., Amer. Math. Soc., 14 (1970), 43-49.
[6] M. Hirsch and C. Pugh, Stable manifolds and hyperbolic sets, Proc. Symp. Pure Math., Amer. Math. Soc., 14 (1970), 133-163.
[7] M. Kurata, Hartman's theorem for hyperbolic sets, Nagoya Math. J., 67 (1977), 41-52.
[8] A. Manning, Axiom A diffeomorphisms have rational zeta functions, Bull. London Math. Soc., 3 (1971), 215-220.
[9] Ja. G. Sinai, Markov partitions and C-diffeomorphisms, Functional Anal. Appl., 2 (1968) no. 1, 61-82.
[10] Ja. G. Sinai, Construction of Markov partitions, Functional Anal. Appl., 2 (1968) no. 2, 70-80.
[11] Ja. G. Sinai, Gibbs measures in ergodic theory, Russian Math. Surveys, 27 (1972), 21-69.
[12] S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc., 73 (1967), 747-817.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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