Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-26T01:04:36.524Z Has data issue: false hasContentIssue false
  • English
  • Français

A stochastic ergodic theorem for superadditive processes

Published online by Cambridge University Press:  19 September 2008

M. A. Akcoglu  and
L. Sucheston
M. A. Akcoglu
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario M5S1A1, Canada
L. Sucheston
Affiliation:
Department of Mathematics, Ohio State Univeristy, Columbus, Ohio 43210, USA
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

An elementary proof is given of Krengel's stochastic ergodic theorem in the setting of multiparameter superadditive processes.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 3 , Issue 3 , September 1983 , pp. 335 - 344
Copyright
Copyright © Cambridge University Press 1983

References

REFERENCES

[1]Akcoglu, M. A. & Sucheston, L.. A ratio ergodic theorem for superadditive processes. Z. Wahrscheinlichkeits theorie u. verw. Geb. 44 (1978), 269–278.CrossRefGoogle Scholar
[2]Derriennic, Y. & Krengel, U.. Subadditive mean ergodic theorems. Ergod. Th. & Dynam. Sys. 1 (1981), 33–48.CrossRefGoogle Scholar
[3]Fong, H.. Ratio and stochastic ergodic theorems for superadditive processes. Canad. J. Math. 31 (1979), 441–447.CrossRefGoogle Scholar
[4]Krengel, U.. On the global limit behavior of Markov chains and of general non-singular Markov processes. Z. Wahrscheinlichkeits theorie u. verw. Geb. 6 (1966), 302–316.CrossRefGoogle Scholar
[5]Krengel, U.. Monograph in preparation.Google Scholar
[6]Smythe, R. T.. Multiparameter subadditive processes. Ann. Prob. 4 (1976), 772–781.CrossRefGoogle Scholar