Automorphisms with finite exact uniform rank

Tom 100 / 1991

Mieczysław K. Mentzen 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.

Autorzy

  • Mieczysław K. Mentzen

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek