References
Arnold, V.I., Avez, A.: Problèmes ergodiques de la mécanique classique. Paris: Gauthier-Villars 1967.
Bowen, R.: Topological entropy and axiom A, to appear in the Proceedings of the A. M. S. Summer School on Global Analysis, Berkeley 1968.
Bowen, R.: Periodic points and measures for axiom A diffeomoiphisms (to appear).
Bowen, R.: Markov partitions for axiom A diffeomorphisms (to appear).
Halmos, P.: Lectures on ergodic theory. Tokio: Publications of the Mathematical Society of Japan, 1956.
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.
Parry, W.: Intrinsic Markov chains. Trans. A.M.S.112, 55–66 (1964).
Parthasarathy, K.R.: On the category of ergodic measures. Illinois J. Math.5, 648–656 (1961).
—: Probability measures on metric spaces. London-New York: Academic Press 1967.
Rokhlin, V. A.: On the entropy of a metric automorphism. Dokl. Akad. Nauk SSSR (NS)128, 980–983 (1959).
Smale, S.: Differentiable dynamical systems. Bull. A.M.S.73, 747–817 (1967).
Weiss, B.: Topological transitivity and ergodic measures, to appear in Math. Syst. Theory.
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Sigmund, K. Generic properties of invariant measures for AxiomA-diffeomorphisms. Invent Math 11, 99–109 (1970). https://doi.org/10.1007/BF01404606
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DOI: https://doi.org/10.1007/BF01404606