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References
REFERENCES
[1]
[1]Furstenberg, H.. Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation. Math. Systems Theory1 (1967), 1–49.CrossRefGoogle Scholar
[2]
[2]Furstenberg, H.. Recurrence in Ergodic Theory and Combinatorial Number Theory. Princeton University Press, Princeton, 1981.CrossRefGoogle Scholar
[3]
[3]Katok, A. and Spatzier, R. J.. Invariant measures for higher rank hyperbolic abelian actions. Ergod. Th. & Dynam. Sys.16 (1996), 751–778.Google Scholar
[4]
[4]Ledrappier, F.. Un champ markovien peut être d'entropie nulle et mélangeant. C. R. Acad. Sci. Paris Ser. A.287 (1978), 561–562.Google Scholar
[5]
[5]Ornstein, D. S. and Weiss, B.. Entropy and isomorphism theorems for amenable group actions. J. d'Analyse Mathématique48 (1987), 1–141.CrossRefGoogle Scholar
[6]
[6]Robinson, R. M.. Undecidability and nonperiodicity for tilings of the plane. Invent. Math.12 (1971), 177–209.Google Scholar
[7]
[7]Schmidt, K.. Dynamical Systems of Algebraic Origin. Birkhaüser, Basel, 1995.Google Scholar
[8]
[8]Schmidt, K. and Ward, T.. Mixing automorphisms of compact groups and a theorem of Schlickewei. Invent. Math.111 (1993), 69–76.Google Scholar
[9]
[9]Spatzier, R.. Harmonic analysis in rigidity theory. Ergodic Theory and its Connections with Harmonic Analysis. Cambridge University Press, Cambridge, 1995, pp. 153–205.CrossRefGoogle Scholar