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References
R. Adler and B. Weiss, Similarity of automorphisms of the torus, Mem. Amer. Math. Soc., 98 (1970).
Rufus Bowen, Periodic points and measures for Axiom A diffeomorphisms, Trans. Amer. Math. Soc., 154 (1971), 377–397.
_____, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Springer Lecture Notes in Math. 470, Berlin, 1975.
_____, Smooth partitions of Anosov diffeomorphisms are weak Bernoulli, Israel J. Math. 21 (1975), 95–100.
Manfred Denker, Christian Grillenberger, and Karl Sigmund, Ergodic Theory on Compact Spaces, Springer Lecture Notes in Math. 527, Berlin, 1976.
Teturo Kamae, Normal numbers and ergodic theory, Proc. 3rd Japan-USSR Symp. Prob. Th., Springer Lecture Notes in Math. 550 (1976), 253–269.
Y. Katznelson, Ergodic automorphisms of Tn are Bernoulli shifts, Israel J. Math. 10 (1971), 186–195.
D. A. Lind, The structure of skew products with ergodic group automorphisms, Israel J. Math. 28 (1977), 205–248.
_____, Split skew products, a related functional equation, and specification, to appear, Israel J. Math.
Daniel J. Rudolph, An isomorphism theory for Bernoulli free Z-skew-compact group actions, to appear.
David Ruelle, Statistical mechanics on a compact set with ℤ2 action satisfying expansiveness and specification, Trans. Amer. Math. Soc. 185, (1973), 237–251.
Karl Sigmund, Generic properties of invariant measures for Axiom A diffeomorphisms, Inventiones Math. 11 (1970), 99–109.
_____, Ergodic averages for Axiom A diffeomorphisms, Z. Wahrscheinlichkeitsth. verw. Geb. 20 (1971), 319–324.
_____, Mixing measures for Axiom A diffeomorphisms, Proc. Amer. Math. Soc. 36 (1972), 497–504.
_____, On dynamical systems with the specification property, Trans. Amer. Math. Soc. 190 (1974), 285–299.
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Lind, D.A. (1979). Ergodic group automorphisms and specification. In: Denker, M., Jacobs, K. (eds) Ergodic Theory. Lecture Notes in Mathematics, vol 729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063287
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DOI: https://doi.org/10.1007/BFb0063287
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