# Wydawnictwa / Czasopisma IMPAN / Fundamenta Mathematicae / Wszystkie zeszyty

## On symmetric logarithm and some old examples in smooth ergodic theory

### Tom 180 / 2003

Fundamenta Mathematicae 180 (2003), 241-255 MSC: 37A10, 37E35, 37C40. DOI: 10.4064/fm180-3-3

#### Streszczenie

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.

#### Autorzy

• K. Fr/aczekFaculty of Mathematics and Computer Science
Nicolaus Copernicus University
Chopina 12/18
87-100 Toruń, Poland
e-mail
• M. LemańczykFaculty of Mathematics and Computer Science
Nicolaus Copernicus University
Chopina 12/18
87-100 Toruń, Poland
e-mail

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