Geodesic
On symmetric logarithm and some old examples in smooth ergodic theory
K. Fr/aczek 1   ; M. Lemańczyk 1
1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland
Fundamenta Mathematicae, Tome 180 (2003) no. 3, pp. 241-255 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm180-3-3
Keywords: positive answer problem existence smooth weakly mixing mixing flows surfaces precisely each compact connected surface whose euler characteristic even negative construct smooth weakly mixing flows which disjoint sense furstenberg mixing flows gaussian flows

K. Fr/aczek  1   ; M. Lemańczyk  1

1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland 
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K. Fr/aczek; M. Lemańczyk. On symmetric logarithm and some old examples
 in smooth ergodic theory. Fundamenta Mathematicae, Tome 180 (2003) no. 3, pp. 241-255. doi: 10.4064/fm180-3-3

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