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On generic points in the Cartesian square of Chacón’s transformation. (English) Zbl 0575.28010
We give an example of a compact metric space X and a strictly ergodic homeomorphism of X with unique invariant probability \(\mu\) such that for each \(\chi\in X\) (\(\chi\),y) is generic for \(\mu\) \(\times \mu\) for all but countably many y.

MSC:
28D05 Measure-preserving transformations
54H20 Topological dynamics (MSC2010)
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References:
[1] Rudolph, J. d’ Analyse Math. 35 pp 97– (1979)
[2] Markley, Ergod. Th. & Dynam. Sys. 3 pp 579– (1983)
[3] DOI: 10.1007/BF02761532 · Zbl 0264.54030 · doi:10.1007/BF02761532
[4] DOI: 10.1007/BF02760618 · Zbl 0522.28012 · doi:10.1007/BF02760618
[5] DOI: 10.1007/BF02774016 · Zbl 0528.46047 · doi:10.1007/BF02774016
[6] del Junco, J. d’ Analyse Math. 37 pp 276– (1980)
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