Asymptotic rate of a flow
Miroslav Krutina (1989)
Commentationes Mathematicae Universitatis Carolinae
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Miroslav Krutina (1989)
Commentationes Mathematicae Universitatis Carolinae
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Jean Bourgain, Harry Furstenberg, Yitzhak Katznelson, Donald S. Ornstein (1989)
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Ryotaro Sato (1984)
Studia Mathematica
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Miroslav Krutina (1989)
Commentationes Mathematicae Universitatis Carolinae
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J. Kwiatkowski, T. Rojek (1991)
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Mieczysław Mentzen (1991)
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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.