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Invariant measures for homeomorphisms with almost weak specification

Part of the Lecture Notes in Mathematics book series (LNM,volume 1021)

Keywords

  • Invariant Measure
  • Periodic Point
  • Borel Probability Measure
  • Ergodic Measure
  • Inventiones Math

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References

  1. Aoki, N., Dateyama, M., and Komuro, M., Solenoidal automorphisms with specification, Mh. Math. 93, 79–110 (1982).

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  2. Billingsley, P., Convergence of Probability Measures, John Wieley & Sons, New York, 1968.

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  3. Dateyama, M., Invariant measures for homeomorphisms with weak specification, Tokyo J. Math. 4. 389–397 (1981).

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  4. Dateyama, M., Group automorphisms with almost weak specification, (to appear).

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  5. Denker, M., Grilenberger, C., Sigmund, K., Ergodic Theory on Compact Spaces, Lecture Notes in Math., 527, Springer Berlin-Heiderberg-New York, 1976.

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  6. Marcus, B., A note on periodic points for ergodic toral automorphisms, Mh. Math. 89, 121–129 (1980).

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  7. Parthasarathy, K.R., On the category of ergodic measures, Illinois J. Math. 5 (1961), 648–656.

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  8. Sigmund, K., Generic properties of invariant measures for axiom-A-diffeomorphisms, Inventiones Math. 11, 99–109 (1970).

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  9. Sigmund, K., On dynamical systems with the specification property, Trans. Amer. Math. Soc. 190, 285–299 (1974).

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© 1983 Springer-Verlag Berlin Heidelberg

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Dateyama, M. (1983). Invariant measures for homeomorphisms with almost weak specification. In: Prokhorov, J.V., Itô, K. (eds) Probability Theory and Mathematical Statistics. Lecture Notes in Mathematics, vol 1021. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072906

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  • DOI: https://doi.org/10.1007/BFb0072906

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12718-5

  • Online ISBN: 978-3-540-38701-5

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