Geodesic
A Stochastic Ergodic Theorem for General Additive Processes
Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 117-121

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DOI

In this article, we obtain the stochastic ergodic theorem for general additive processes. That is, we prove that there exists , such that whenever α > 0 and A is a measurable set with μ(A) < ∞, where and {U(ij)}} an arbitrary (two dimensional) semigroup of L 1 -contractions. This result generalizes the stochastic ergodic theorem (SET) of U. Krengel and the SET of M. A. Akcoglu and L. Sucheston.
DOI : 10.4153/CMB-1989-018-x
Mots-clés : 47A35, 28D99, 60G10 
Çömez, Doḡan. A Stochastic Ergodic Theorem for General Additive Processes. Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 117-121. doi: 10.4153/CMB-1989-018-x
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     author = {\c{C}\"omez, Doḡan},
     title = {A {Stochastic} {Ergodic} {Theorem} for {General} {Additive} {Processes}},
     journal = {Canadian mathematical bulletin},
     pages = {117--121},
     year = {1989},
     volume = {32},
     number = {1},
     doi = {10.4153/CMB-1989-018-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-018-x/}
}
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