Special Session 45: Frontiers in Topological Dynamics: Theory, Applications, and Interdisciplinary Connections

Symmetry vs Ergodicity
Disheng Xu
Great Bay University
Peoples Rep of China
Co-Author(s):    
Abstract:
In this talk, I will present my joint work with Damjanovic, Wilkinson and Wu. More precisely I will show for smooth dynamics, at least for affine maps on homogeneous spaces, ergodic theoretic property of a dynamical system is closely related to its symmetries.