Generic distributional limits for measure preserving transformations

Jon Aaronson; Benjamin Weiss

doi:10.1007/BF02760521

Generic distributional limits for measure preserving transformations

Jon Aaronson^*, Benjamin Weiss

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

We construct a conservative ergodic transformation of the real line whose normalised Birkhoff sums are distributionally generic. This proves that distributional genericity is itself generic.

Original language	English
Pages (from-to)	251-259
Number of pages	9
Journal	Israel Journal of Mathematics
Volume	47
Issue number	2-3
DOIs	https://doi.org/10.1007/BF02760521
State	Published - Dec 1984

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title = "Generic distributional limits for measure preserving transformations",

abstract = "We construct a conservative ergodic transformation of the real line whose normalised Birkhoff sums are distributionally generic. This proves that distributional genericity is itself generic.",

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Generic distributional limits for measure preserving transformations

Abstract

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