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Sigmund, Karl

Generic properties of invariant measures for Axiom A diffeomorphisms. (English) Zbl 0193.35502

Invent. Math. 11, 99-109 (1970).
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Cited in 6 Reviews
Cited in 84 Documents

Keywords:

measure and integration
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References:

[1] Arnold, V.I., Avez, A.: Problèmes ergodiques de la mécanique classique. Paris: Gauthier-Villars 1967. · Zbl 0149.21704
[2] Bowen, R.: Topological entropy and axiom A, to appear in the Proceedings of the A. M. S. Summer School on Global Analysis, Berkeley 1968.
[3] Bowen, R.: Periodic points and measures for axiom A diffeomoiphisms (to appear). · Zbl 0212.29103
[4] Bowen, R.: Markov partitions for axiom A diffeomorphisms (to appear). · Zbl 0208.25901
[5] Halmos, P.: Lectures on ergodic theory. Tokio: Publications of the Mathematical Society of Japan, 1956. · Zbl 0073.09302
[6] Oxtoby, J.: On two theorems of Parthasarathy and Kakutani concerning the shift transformation. Proceedings of the International Symposion on Ergodic theory, p. 203-215. New York: Academic Press 1963. · Zbl 0147.34003
[7] Parry, W.: Intrinsic Markov chains. Trans. A.M.S.112, 55-66 (1964). · Zbl 0127.35301 · doi:10.1090/S0002-9947-1964-0161372-1
[8] Parthasarathy, K.R.: On the category of ergodic measures. Illinois J. Math.5, 648-656 (1961). · Zbl 0103.28101
[9] ?: Probability measures on metric spaces. London-New York: Academic Press 1967. · Zbl 0153.19101
[10] Rokhlin, V. A.: On the entropy of a metric automorphism. Dokl. Akad. Nauk SSSR (NS)128, 980-983 (1959). · Zbl 0096.31405
[11] Smale, S.: Differentiable dynamical systems. Bull. A.M.S.73, 747-817 (1967). · Zbl 0202.55202 · doi:10.1090/S0002-9904-1967-11798-1
[12] Weiss, B.: Topological transitivity and ergodic measures, to appear in Math. Syst. Theory. · Zbl 0212.40103
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