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Chacon’s automorphism has minimal self joinings. (English) Zbl 0445.28014

MSC:
28D05 Measure-preserving transformations
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[1] A. del Junco,A simple measure preserving transformation with trivial centralizer, Pacific J. Math.79 (1978), 357–362. · Zbl 0368.28019
[2] A. del Junco,Minimal self joinings, disjointness, and category, submitted. · Zbl 0467.28011
[3] A. Fieldsteel,An uncountable family of prime transformations not isomorphic to their inverses, preprint.
[4] N. A. Friedman,Introduction to Ergodic Theory, Van Nostrand Reinhold Mathematical Studies #29, 1970. · Zbl 0212.40004
[5] H. Furstenberg,Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation, Math. Systems Theory1 (1967), 1–49. · Zbl 0146.28502 · doi:10.1007/BF01692494
[6] D. Rudolph,An example of a measure preserving map with minimal self adjoinings, and applications, to appear in J. Analyse Math.
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