Second order ergodic theorems for ergodic transformations of infinite measure spaces

Jon Aaronson; Manfred Denker; Albert M. Fisher

doi:10.1090/S0002-9939-1992-1099339-4

Second order ergodic theorems for ergodic transformations of infinite measure spaces

Jon Aaronson, Manfred Denker, Albert M. Fisher

School of Mathematical Sciences

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

19 Scopus citations

Abstract

For certain pointwise dual ergodic transformations T we prove almost sure convergence of the log-averages and the Chung-Erdös averages towards ƒ, where a(n) denotes the return sequence of T.

Original language	English
Pages (from-to)	115-127
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	114
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1992-1099339-4
State	Published - Jan 1992

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title = "Second order ergodic theorems for ergodic transformations of infinite measure spaces",

abstract = "For certain pointwise dual ergodic transformations T we prove almost sure convergence of the log-averages and the Chung-Erd{\"o}s averages towards ƒ, where a(n) denotes the return sequence of T.",

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Second order ergodic theorems for ergodic transformations of infinite measure spaces

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