Automorphisms with finite exact uniform rank
Tom 100 / 1991
Studia Mathematica 100 (1991), 13-24
DOI: 10.4064/sm-100-1-13-24
Streszczenie
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.
