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Topological mixing of Weyl chamber flows

Part of: Connections with other structures, applications Global differential geometry Variational problems in infinite-dimensional spaces Topological dynamics

Published online by Cambridge University Press:  17 February 2020

NGUYEN-THI DANG  and
OLIVIER GLORIEUX
NGUYEN-THI DANG
Affiliation:
IRMAR (CNRS-UMR 6625), University of Rennes 1, 35000Rennes, France email [email protected]
OLIVIER GLORIEUX
Affiliation:
University of Luxembourg Faculty of Science, Technology and Communication, Mathematics Research Unit 6, rue Coudenhove-Kalergi, L-1359Luxembourg-Kirchberg Bureau G104, Luxembourg email [email protected]
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Abstract

In this paper we study topological properties of the right action by translation of the Weyl chamber flow on the space of Weyl chambers. We obtain a necessary and sufficient condition for topological mixing.

Keywords

Weyl flowinfinite volumeZariski dense discrete grouphigher ranktopological mixing

MSC classification

Primary: 54H20: Topological dynamics 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.) 53C30: Homogeneous manifolds
Secondary: 53C35: Symmetric spaces 58E40: Group actions
Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 41 , Issue 5 , May 2021 , pp. 1342 - 1368
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Copyright
© The Author(s) 2020. Published by Cambridge University Press

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