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A Stochastic Ergodic Theorem for General Additive Processes

Published online by Cambridge University Press:  20 November 2018

Doḡan Çömez
Doḡan Çömez*
Affiliation:
Mathematical Sciences Division, NDSU, Fargo, ND
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Abstract

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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.

Keywords

47A3528D9960G10

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 1 , 01 March 1989, pp. 117 - 121
Copyright
Copyright © Canadian Mathematical Society 1989

References

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