On symmetric logarithm and some old examples in smooth ergodic theory

K. Frączek; M. Lemańczyk

Fundamenta Mathematicae (2003)

  • Volume: 180, Issue: 3, page 241-255
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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K. Frączek, and M. Lemańczyk. "On symmetric logarithm and some old examples in smooth ergodic theory." Fundamenta Mathematicae 180.3 (2003): 241-255. <http://eudml.org/doc/283052>.

@article{K2003,
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.},
author = {K. Frączek, M. Lemańczyk},
journal = {Fundamenta Mathematicae},
language = {eng},
number = {3},
pages = {241-255},
title = {On symmetric logarithm and some old examples in smooth ergodic theory},
url = {http://eudml.org/doc/283052},
volume = {180},
year = {2003},
}

TY - JOUR
AU - K. Frączek
AU - M. Lemańczyk
TI - On symmetric logarithm and some old examples in smooth ergodic theory
JO - Fundamenta Mathematicae
PY - 2003
VL - 180
IS - 3
SP - 241
EP - 255
AB - 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.
LA - eng
UR - http://eudml.org/doc/283052
ER -

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