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Ergodic properties of product type odometers

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1299))

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References

  1. H. Araki and J. Woods: A classification of factors, Publ. RIMS, Kyoto Univ. 3 (1967), 51–130.

    MathSciNet  MATH  Google Scholar 

  2. A. Connes: Une classification des facteurs de type III, Ann. Sci. Ec. Norm. Sup. 6 (1973), 133–252.

    MathSciNet  MATH  Google Scholar 

  3. A. Connes and J. Woods: Approximately transitive flows and ITPFI factors, Ergod. Th. and Dynam. Syst. 5 (1985), 203–236.

    Article  MathSciNet  MATH  Google Scholar 

  4. T. Giordano and G. Scandalis: On infinite tensor products of factors of type I, Ergod. Th. and Dyndm. Syst. 5 (1985), 565–586.

    MathSciNet  Google Scholar 

  5. Y. Ito, T. Kamae and I. Shiokawa: Point spectrum and Hausdorff dimension, Number Th. and Combinatorics (1985), 209–227.

    Google Scholar 

  6. W. Krieger: On ergodic flows and the isomorphism of factors, Math. Ann. 223 (1976), 19–70.

    Article  MathSciNet  MATH  Google Scholar 

  7. T. Hamachi, Y. Oka and M. Osikawa: Flows associated with ergodic non-singular transformation groups, Publ. RIMS, Kyoto Univ. 11 (1975), 31–50.

    Article  MathSciNet  MATH  Google Scholar 

  8. T. Hamachi and M. Osikawa: Computation of the associated flows of ITPFI factors of type III, to appear in Proceedings of U.S.-Japan Symposium on Geometric Methods in Operator Algebras.

    Google Scholar 

  9. M. Osikawa: Point spectra of non-singular flows, Publ. RIMS, Kyoto Univ. 13 (1977), 167–172.

    Article  MathSciNet  MATH  Google Scholar 

  10. M. Osikawa: Flows associated with product type odometers, Ergod. Th. and Dynam. Syst. 3 (1983), 601–612.

    Article  MathSciNet  MATH  Google Scholar 

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Shinzo Watanabe Jurii Vasilievich Prokhorov

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© 1988 Springer-Verlag

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Osikawa, M. (1988). Ergodic properties of product type odometers. In: Watanabe, S., Prokhorov, J.V. (eds) Probability Theory and Mathematical Statistics. Lecture Notes in Mathematics, vol 1299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078499

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  • DOI: https://doi.org/10.1007/BFb0078499

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18814-8

  • Online ISBN: 978-3-540-48187-4

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