Geodesic
A Local Ergodic Theorem for Multiparameter Superadditive Processes
Canadian mathematical bulletin, Tome 28 (1985) no. 2, pp. 205-211

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper a local ergodic theorem is proved for positive (multiparameter) superadditive processes with respect to (multiparameter) semiflows of nonsingular point transformations on a a-finite measure space. The theorem obtained here generalizes Akcoglu-Krengel's [2] local ergodic theorem for superadditive processes with respect to semiflows of measure preserving transformations. The proof is a refinement of Akcoglu-Krengel's argument in [2]. Also, ideas of Feyel [3] and the author [4], [5] are used.
DOI : 10.4153/CMB-1985-023-8
Mots-clés : 47A35 
Sato, Ryotaro. A Local Ergodic Theorem for Multiparameter Superadditive Processes. Canadian mathematical bulletin, Tome 28 (1985) no. 2, pp. 205-211. doi: 10.4153/CMB-1985-023-8
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[1] 1. Akcoglu, M.A. and A. del Junco, Differentiation of n-dimensional additive processes, Canad. J. Math. 33 (1981), pp. 749–768. Google Scholar

[2] 2. Akcoglu, M.A. and Krengel, U., Ergodic theorems for superadditive processes, J. Reine Angew. Math. 323 (1981), pp. 53–67. Google Scholar

[3] 3. Feyel, D., Convergence locale des processus sur-abéliens et sur-additifs, C. R. Acad. Sci. Paris, Sér. I, 295 (1982), pp. 301–303. Google Scholar

[4] 4. Sato, R., On local ergodic theorems for positive semigroups, Studia Math. 63 (1978), pp. 45—55. Google Scholar

[5] 5. Sato, R., On local properties of k-parameter semiflows of nonsingular point transformations, Acta Math. Hung, (to appear). Google Scholar

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