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Moving Ergodic Theorems for Superadditive Processes

Published online by Cambridge University Press:  20 November 2018

S. E. Ferrando
S. E. Ferrando*
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario, M5S1A1 e-mail: ferrando@math. toronto. edu
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Abstract

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Let be a semigroup of measure preserving transformations on a measure space (Ω, ℱ, μ). The main result of the paper is the proof of a.e. convergence for the moving averages where {FIn} is a superadditive process and {In} is a sequence of cubes in satisfying the "cone-condition". The identification of the limit is given. A moving local theorem is also proved.

Keywords

28D9947A35

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 47 , Issue 4 , 01 August 1995, pp. 728 - 743
Copyright
Copyright © Canadian Mathematical Society 1995

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