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On generic points in the Cartesian square of Chacón's transformation

Published online by Cambridge University Press:  19 September 2008

A. Del Junco  and
M. Keane
A. Del Junco
Affiliation:
Mathematics Department, University of Toronto, Toronto M5S 1A1, Canada
M. Keane
Affiliation:
Technische Hogeschool Delft, Afdeling Wiskunde, 2628 BL Delft, The, Netherlands
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Abstract

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We give an example of a compact metric space X and a strictly ergodic homeomorphism T of X with invariant probability μ such that for every x ∈ X the set is not generic for μ × μ} is countable.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 5 , Issue 1 , March 1985 , pp. 59 - 69
Copyright
Copyright © Cambridge University Press 1985

References

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