An application of number theory to ergodic theory and the construction of uniquely ergodic models

A. Bellow; H. Furstenberg

doi:10.1007/BF02762163

An application of number theory to ergodic theory and the construction of uniquely ergodic models

A. Bellow, H. Furstenberg

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

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Abstract

Using a combinatorial result of N. Hindman one can extend Jewett's method for proving that a weakly mixing measure preserving transformation has a uniquely ergodic model to the general ergodic case. We sketch a proof of this reviewing the main steps in Jewett's argument.

Original language	English
Pages (from-to)	231-240
Number of pages	10
Journal	Israel Journal of Mathematics
Volume	33
Issue number	3-4
DOIs	https://doi.org/10.1007/BF02762163
State	Published - Sep 1979
Externally published	Yes

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abstract = "Using a combinatorial result of N. Hindman one can extend Jewett's method for proving that a weakly mixing measure preserving transformation has a uniquely ergodic model to the general ergodic case. We sketch a proof of this reviewing the main steps in Jewett's argument.",

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An application of number theory to ergodic theory and the construction of uniquely ergodic models

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