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An individual ergodic theorem for superadditive processes

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References

  1. M. A. Akcoglu and R. V. Chacon, A convexity theorem for positive operators,Z. Wahrscheinlichkeitstheorie und Verw. Gebiete,3 (1965), 328–332.

    Google Scholar 

  2. M. A. Akcoglu and L. Sucheston, A ratio ergodic theorem for superadditive processes,Z. Wahrscheinlichkeitstheorie und Verw. Gebiete,44 (1978), 269–278.

    Google Scholar 

  3. R. V. Chacon, A class of linear transformations,Proc. Amer. Math. Soc.,15 (1964), 560–564.

    Google Scholar 

  4. N. Dunford and J. T. Schwartz,Linear operators. Part I: General theory, Interscience (New York, 1958).

    Google Scholar 

  5. A. Ionescu Tulcea, Ergodic properties of isometries inL p space, 1<p<∞,Bull. Amer. Math. Soc.,70 (1964), 366–371.

    Google Scholar 

  6. Y. Ito, Uniform integrability and the pointwise ergodic theorem,Proc. Amer. Math. Soc.,16 (1965), 222–227.

    Google Scholar 

  7. C. H. Kan, Ergodic properties of Lamperti operators,Canad. J. Math.,30 (1978), 1206–1214.

    Google Scholar 

  8. J. F. C. Kingman, Subadditive processes. In:Springer Lecture Notes in Math.,539, pp. 167–223. Springer (Berlin, 1976).

    Google Scholar 

  9. R. Sato, An Abelian ergodic theorem,Comment. Math. Univ. Carolinae,18 (1977), 415–422.

    Google Scholar 

  10. R. Sato, On an individual ergodic theorem,Math. J. Okayama Univ.,24 (1982), 153–156.

    Google Scholar 

  11. A. de la Torre, A simple proof of the maximal ergodic theorem,Canad, J. Math.,28 (1976), 1073–1075.

    Google Scholar 

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Sato, R. An individual ergodic theorem for superadditive processes. Acta Math Hung 47, 153–155 (1986). https://doi.org/10.1007/BF01949136

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  • DOI: https://doi.org/10.1007/BF01949136

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