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A multiparameter strongly superadditive ergodic theorem

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References

  1. Akcoglu, M.A.: A pointwise ergodic theorem inL p -spaces. Canad. J. Math.27, 1075–1082 (1985)

    Google Scholar 

  2. Akcoglu, M.A., Krengel, U.: Ergodic theorem for superadditive processes. J. Reine Angew. Math.323, 53–67 (1981)

    Google Scholar 

  3. Akcoglu, M., Sucheston, L.: On convergence of Iterates of positive contractions inL p -spaces. J. Approximation Theory13, 348–362 (1975)

    Google Scholar 

  4. Akcoglu, M., Sucheston, L.: A ratio ergodic theorem for superadditive processes. Z. Wahrscheinlichkeitstheorie verw. Gebiete44, 269–278 (1978)

    Google Scholar 

  5. Brunel, A.: Théorème ergodique ponctuel pour un semi-groupe commutatif finiment engendré de contractions deL 1. Ann. Inst. H. PoincaréXI, no 4, 327–343 (1973)

    Google Scholar 

  6. Derriennic, Y., Krengel, U.: Subadditive mean ergodic theorems. Erg. Th. and Dynam. Syst.1, 33–48 (1981)

    Google Scholar 

  7. McGrath, S.A.: Some ergodic theorems for commutingL 1 contractions. Studia Math.70, 165–172 (1980)

    Google Scholar 

  8. Hachem, B.: Un théorème ergodique, sur-additif dansL p (1<p<∞). C.R. Acad. Sc. Paris t. 292 (9 mars 1981), p. 531–534

    Google Scholar 

  9. Hachem, B.: Quelques théorèmes ergodiques sur-additifs dansL p (1≦p<∞). Ann. Inst. H. PoincaréXVIII, no 3 (1982)

  10. Kingman, J.F.C.: Subadditive ergodic theory. Ann. Probability1, 883–905 (1973)

    Google Scholar 

  11. Smythe, R.T.: Multiparameter subadditive processes. Ann. Probability4, 772–782 (1976)

    Google Scholar 

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Authors and Affiliations

  1. Laboratoire de Probabilités, Université P. & M. Curie, Tour 56, 3ème Etage, F-75230, Paris Cedex 05, France

    R. Emilion

  2. Faculté des Sciences et Techniques, Université de Bretagne Occidentale, 6 avenue Le Gorgeu, F-29283, Brest, France

    B. Hachem

Authors
  1. R. Emilion
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  2. B. Hachem
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Additional information

The present results have been announced in C.R. Acad. Sc. Paris (10 janvier 1983) Série I, p. 85–87

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Emilion, R., Hachem, B. A multiparameter strongly superadditive ergodic theorem. Math Z 189, 11–17 (1985). https://doi.org/10.1007/BF01246940

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  • DOI: https://doi.org/10.1007/BF01246940

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