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On the Araki-Woods asymptotic ratio set and non-singular transformations of a measure space

Part of the Lecture Notes in Mathematics book series (LNM,volume 160)

Keywords

  • Probability Measure
  • Invariant Measure
  • Measure Space
  • Positive Measure
  • Finite Measure

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References

  1. Araki, H. and E. J. Woods: A classification of factors, Publ. RIMS, Kyoto University Ser. A, 4 (1968), 51–130.

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  2. Arnold, L. K.: On σ-finite invariant measures, Z. Wahrscheinlichkeitstheorie verw. Geb. 9 (1968), 85–97.

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  4. Hill, D. G. B: σ-finite invariant measures on infinite product spaces, thesis, Yale University, 1969.

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  5. Jacobs, K: Neuere Methoden und Ergebnisse der Ergodentheorie, Berlin-Gőttingen-Heidelberg: Springer 1960.

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  7. Krieger W.: On non-singular transformations of a measure space I, Z. Wahrscheinlichkeitstheorie verw. Geb. 11, (1969), 83–97.

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  8. ____: On non-singular transformations of a measure space II, Z. Wahrscheinlichkeitstheorie verw. Geb. 11 (1969), 98–119.

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  9. ____: On a class of hyperfinite factors that arise from null-recurrent Markov chains, to appear in J. Functional Analysis.

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  10. Takenouchi, O.: On type classification of factors constructed as infinite tensor products, Publ. RIMS, Kyoto University Ser. A, 4 (1968), 467–482.

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© 1970 Springer-Verleg

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Krieger, W. (1970). On the Araki-Woods asymptotic ratio set and non-singular transformations of a measure space. In: Contributions to Ergodic Theory and Probability. Lecture Notes in Mathematics, vol 160. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060653

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  • DOI: https://doi.org/10.1007/BFb0060653

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05188-6

  • Online ISBN: 978-3-540-36371-2

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