On symmetric logarithm and some old examples in smooth ergodic theory

Volume 180 / 2003

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

Abstract

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.

Authors

  • 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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