Topological mixing of Weyl chamber flows

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.

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Bibliographic Details
Published inErgodic theory and dynamical systems Vol. 41; no. 5; pp. 1342 - 1368
Main Authors DANG, NGUYEN-THI, GLORIEUX, OLIVIER
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.05.2021
Cambridge University Press (CUP)
Subjects
Chambers
Dynamical Systems
Mathematics
Original Article
Topology
53C30
Zariski dense discrete group
54H20
53C35
Weyl flow
infinite volume
37B05
58E40
higher rank
topological mixing
Nonpositive curvature
Weyl chamber flow
Semisimple Lie groups
Topological Dynamics
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Summary: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.
ISSN:0143-3857
1469-4417
DOI:10.1017/etds.2020.6