On the ergodic theory of non-integrable functions and infinite measure spaces

Jon Aaronson

doi:10.1007/BF02761665

On the ergodic theory of non-integrable functions and infinite measure spaces

Jon Aaronson^*

^*Corresponding author for this work

Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

We prove a Chow-Robbins type result for an ergodic, non-negative SSSP, and a similar result for transformations preserving infinite measure, which implies that for these transformations, no "absolute" version of Hopf's theorem can hold.

Original language	English
Pages (from-to)	163-173
Number of pages	11
Journal	Israel Journal of Mathematics
Volume	27
Issue number	2
DOIs	https://doi.org/10.1007/BF02761665
State	Published - Jun 1977
Externally published	Yes

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On the ergodic theory of non-integrable functions and infinite measure spaces

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