A Local Ergodic Theorem for Multiparameter Superadditive Processes
Canadian mathematical bulletin, Tome 28 (1985) no. 2, pp. 205-211
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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.
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
@article{10_4153_CMB_1985_023_8,
author = {Sato, Ryotaro},
title = {A {Local} {Ergodic} {Theorem} for {Multiparameter} {Superadditive} {Processes}},
journal = {Canadian mathematical bulletin},
pages = {205--211},
year = {1985},
volume = {28},
number = {2},
doi = {10.4153/CMB-1985-023-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-023-8/}
}
TY - JOUR AU - Sato, Ryotaro TI - A Local Ergodic Theorem for Multiparameter Superadditive Processes JO - Canadian mathematical bulletin PY - 1985 SP - 205 EP - 211 VL - 28 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-023-8/ DO - 10.4153/CMB-1985-023-8 ID - 10_4153_CMB_1985_023_8 ER -
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