On The Dynamics of Shifts of Finite Type on Groups

Jung-Chao Ban

Department of Applied Mathematics

National Dong Hwa University


    In this talk, we consider the dynamics of shifts of finite type on groups (G-SFTs) and focus on case that G is monoid or free group. By using the nonlinear recursive formula, the complete characterization for the entropy of GSFTs is established. Besides, we discuss various kinds of mixing GSFTs, and provide the connection between positive-entropy and mixing GSFTs.