Phenomena in rank-one ℤ²-actions

• Autorzy: Tomasz Downarowicz , Jacek Serafin
• Języki publikacji: EN

Abstrakty

EN

We present an example of a rank-one partially mixing ℤ²-action which possesses a non-rigid factor and for which the Weak Closure Theorem fails. This is in sharp contrast to one-dimensional actions, which cannot display this type of behavior.

Kategorie tematyczne

• 37A15: General groups of measure-preserving transformations \SeeMainly{}
• 37A05: Measure-preserving transformations
• 37A35: Entropy and other invariants, isomorphism, classification

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 192
• Numer: 3
• Strony: 281-294

Daty

wydano

2009

Twórcy

autor

Tomasz Downarowicz

• Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

autor

Jacek Serafin

• Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Identyfikatory

DOI

10.4064/sm192-3-5