Multiplicity of Topological Dynamical Systems

For a topological dynamical system, we introduce the concept of topological multiplicity. In this talk, I will present its definition and several properties of topological systems with finite multiplicity. I will also discuss several examples to illustrate this concept. If time permits, I will talk about the multiplicity of subshifts with linear growth complexity. Some open problems related to this topic will be discussed during the talk. This is a joint work with David Burguet.