Semisimple extensions of irrational rotations

• Autorzy: Mariusz Lemańczyk , Mieczysław K. Mentzen , Hitoshi Nakada
• Języki publikacji: EN

Abstrakty

EN

We show that semisimple actions of l.c.s.c. Abelian groups and cocycles with values in such groups can be used to build new examples of semisimple automorphisms (ℤ-actions) which are relatively weakly mixing extensions of irrational rotations.

Kategorie tematyczne

• 37A25: Ergodicity, mixing, rates of mixing
• 37A05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 156
• Numer: 1
• Strony: 31-57

Daty

wydano

2003

Twórcy

autor

Mariusz Lemańczyk

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

Mieczysław K. Mentzen

• Faculty of Mathematics and Computer Sciences, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

Hitoshi Nakada

• Department of Mathematics, Keio University, 3-14-1, Hyoshi, Kohoku-ku, Yokohama 223-8522, Japan

Identyfikatory

DOI

10.4064/sm156-1-3