Geodesic
Automorphisms with finite exact uniform rank
Studia Mathematica, Tome 100 (1991) no. 1, pp. 13-24

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The notion of exact uniform rank, EUR, of an automorphism of a probability Lebesgue space is defined. It is shown that each ergodic automorphism with finite EUR is finite extension of some automorphism with rational discrete spectrum. Moreover, for automorphisms with finite EUR, the upper bounds of EUR of their factors and ergodic iterations are computed.
DOI : 10.4064/sm-100-1-13-24

Mieczysław K. Mentzen 1

1 
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Mieczysław K. Mentzen. Automorphisms with finite exact uniform rank. Studia Mathematica, Tome 100 (1991) no. 1, pp. 13-24. doi: 10.4064/sm-100-1-13-24

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