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

Mathematics

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 (US)
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

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1992-1099339-4

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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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year = "1992",

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AU - Aaronson, Jon

AU - Denker, Manfred

AU - Fisher, Albert M.

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N2 - 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.

AB - 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.

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Second order ergodic theorems for ergodic transformations of infinite measure spaces

Abstract

All Science Journal Classification (ASJC) codes

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