TOPOLOGICAL MIXING OF WEYL CHAMBER FLOWS

Nguyen-Thi Dang (1) , Olivier Glorieux (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 Uni.lu - Université du Luxembourg

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. (1)

Mots clés: Topological Dynamics; Nonpositive curvature; Semisimple Lie groups; Weyl chamber flow

Domaines: Systèmes dynamiques [math.DS]

Nguyen-Thi Dang, Olivier Glorieux. TOPOLOGICAL MIXING OF WEYL CHAMBER FLOWS. Ergodic Theory and Dynamical Systems, 2021, 41 (5), pp.1342-1368. ⟨hal-01877871⟩