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Ergodic theorems

Part of the Lecture Notes in Mathematics book series (LNM,volume 1115)

Keywords

  • Ergodic Theorem
  • Amenable Group
  • Invariant Vector
  • Compact Hausdorff Space
  • Finite Part

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3.5. References

  1. ALAOGLU, L. and BIRKHOFF, G., General ergodic theorems. Annals of Mathematics Vol. 41 no 2 (1940), 293–309.

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  2. FURSTENBERG, H., Strict ergodicity and transformation of the torus. Amer. J. of Math. 83 (1961), 573–601.

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  3. BILLINGSLEY, P., Ergodic Theory and Information. Wiley series in probability and mathematical statistics (1965).

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  4. CHATARD, J., Applications des propriétés de moyenne d’un groupe localement compact à la théorie ergodique. Thèse de 3ème cycle. Paris (1972).

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  5. BEWLEY, T., Extension of the Birkhoff and Von Neumann ergodic theorems to semigroup actions. Ann. I. H. P., Vol VII, no4 (1971), 283–291.

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  6. EMERSON, W. R., The pointwise ergodic theorem for amenable groups. Amer. Jour. of Math. 96 (1974), 472–487.

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  7. MISIUREWICZ, M., A short proof of the variational principle for a Z n+ -action on a compact space. Astérisque no 40 (1977), 147–158.

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© 1985 Springer-Verlag

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Ollagnier, J.M. (1985). Ergodic theorems. In: Ergodic Theory and Statistical Mechanics. Lecture Notes in Mathematics, vol 1115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101578

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  • DOI: https://doi.org/10.1007/BFb0101578

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15192-0

  • Online ISBN: 978-3-540-39289-7

  • eBook Packages: Springer Book Archive