Topological mixing of the Weyl chamber flow
Nguyen-Thi Dang (IRMAR), Olivier Glorieux (Uni.lu)
TL;DR
This paper investigates the topological mixing properties of the Weyl Chamber flow's right translation action on Weyl chambers, providing a precise criterion for when the flow exhibits topological mixing.
Contribution
It establishes a necessary and sufficient condition for topological mixing in the Weyl Chamber flow, advancing understanding of its dynamical behavior.
Findings
Derived a criterion for topological mixing
Characterized the flow's dynamical properties
Enhanced understanding of Weyl Chamber flow dynamics
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. (1)
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Taxonomy
TopicsMathematical Dynamics and Fractals · Stochastic processes and financial applications · Geometry and complex manifolds