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Nombres normaux et theorie ergodique

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Théorie Ergodique

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 532))

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Références

  1. R. Adler, A. Konheim and M. McAndrew. Topological entropy, T. A. M. S. 114, (1965), 309–319.

    Article  MathSciNet  MATH  Google Scholar 

  2. V. N. Agafonov. Normal sequence and finite automata, Dokl. Akad. Nauk SSSR 179, (1968), 255–256.

    MathSciNet  MATH  Google Scholar 

  3. P. Billingsley. Hausdorff dimension in probability theory, II, J. Math 4, (1960), 187–209.

    MathSciNet  MATH  Google Scholar 

  4. E. Borel. Les probabilités dénombrables et leurs applications arithmétiques. Rend. Circ. Mat. Palermo 27, (1909), 247–271.

    Article  MATH  Google Scholar 

  5. R. Bowen. Topological entropy for non compact sets. à paraître.

    Google Scholar 

  6. J. Cassels. On a problem of Steinhaus about normal numbers. Colloq. Math. 7, (1959), 95–101.

    MathSciNet  MATH  Google Scholar 

  7. J. Cigler. Ein gruppentheoretisches Analogon zum Begriff der normalen Zahl, Journ. f. d. reine u. angew.

    Google Scholar 

  8. C. Colebrook. The Hausdorff dimension of certain sets of of non-normal numbers, Mich. Math. J. 17, (1970), 103–116.

    Article  MathSciNet  Google Scholar 

  9. Y. Dowker. A. paraître

    Google Scholar 

  10. H. Eggleston. The fractional dimension of a set defined by decimal properties. Quart. J. Math. 20, (1949), 31–36.

    Article  MathSciNet  MATH  Google Scholar 

  11. H. Furstenberg. Strict ergodicity and transformations on the torus. Amer. J. Math. 83, (1961), 573–601.

    Article  MathSciNet  MATH  Google Scholar 

  12. -. Disjointness in ergodic theory. Math. Syst. Theory 1, (1967), 1–49.

    Article  MathSciNet  MATH  Google Scholar 

  13. J. Maxfield. Normal k-tuples. Pacific J. math. 3, (1953), 189–196.

    Article  MathSciNet  MATH  Google Scholar 

  14. I. Niven and H. Zuckermann. On the definition of normal number. Pacific J. Math. 1, (1951), 103–109.

    Article  MathSciNet  Google Scholar 

  15. J. Oxtoby. Ergodic sets, B. A. M. S. 58, (1952), 116–136.

    Article  MathSciNet  MATH  Google Scholar 

  16. J. Oxtoby and S. Ulam. Measure preserving homeomorphisms and metric transitivity. Annals of Math. 49, (1941), 874–920.

    Article  MathSciNet  MATH  Google Scholar 

  17. W. Schmidt. Normalität bezüglich Matrizen. Journ. f. d. reine u. angew. Math. 214/215, (1964), 227–260.

    MATH  Google Scholar 

  18. -. On normal numbers, Pacific J. Math. 10, (1960), 661–672.

    Article  MathSciNet  MATH  Google Scholar 

  19. K. Sigmund. Dynamical systems with the specification property. A paraître

    Google Scholar 

  20. K. Sigmund. Normal and quasiregular points for automorphisms of the torus. A paraître.

    Google Scholar 

  21. D. Wall Normal numbers. Thesis 1949, Univ. Calif.

    Google Scholar 

  22. B. Volkmann. Uber Hausdorffsche Dimensionen von Mengen die durch Zifferneigenschaften charakterisiert sind VI., Math. Zeitschrift 68, (1958), 439–449.

    Article  MathSciNet  MATH  Google Scholar 

  23. B. Weiss. Normal sequences as collectives. Proc. Symp. on Topological dynamics and Ergodic theory, Univ. of Kentucky, (1971).

    Google Scholar 

  24. T. Kamae. Subsequences of normal sequences. A paraître.

    Google Scholar 

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Author information

Authors and Affiliations

  1. (Vienne)

    Karl Sigmund

Authors
  1. Karl Sigmund
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Jean-Pierre Conze Michael S. Keane

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© 1976 Springer-Verlag

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Sigmund, K. (1976). Nombres normaux et theorie ergodique. In: Conze, JP., Keane, M.S. (eds) Théorie Ergodique. Lecture Notes in Mathematics, vol 532. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080181

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  • DOI: https://doi.org/10.1007/BFb0080181

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07803-6

  • Online ISBN: 978-3-540-38217-1

  • eBook Packages: Springer Book Archive

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