On symmetric logarithm and some old examples in smooth ergodic theory

• Autorzy: K. Frączek , M. Lemańczyk
• Języki publikacji: EN

Abstrakty

EN

We give a positive answer to the problem of existence of smooth weakly mixing but not mixing flows on some surfaces. More precisely, on each compact connected surface whose Euler characteristic is even and negative we construct smooth weakly mixing flows which are disjoint in the sense of Furstenberg from all mixing flows and from all Gaussian flows.

Kategorie tematyczne

• 37E35: Flows on surfaces
• 37C40: Smooth ergodic theory, invariant measures
• 37A10: One-parameter continuous families of measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 180
• Numer: 3
• Strony: 241-255

Daty

wydano

2003

Twórcy

autor

K. Frączek

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

autor

M. Lemańczyk

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

Identyfikatory

DOI

10.4064/fm180-3-3