2019/06/24 by Abdul Gaffar Khan, Khan, Abdul Gaffar, Pramod Kumar Das +3
Mathematics · Computer Science · #Mathematical Dynamics and Fractals #Cellular Automata and Applications #Computability, Logic, AI Algorithms
paper · pdf · doi:10.48550/arxiv.1906.09805
We extend specification and periodic specification to finitely generated group actions on uniform spaces using a concept of specification point. We prove that certain group actions having two distinct specification points have positive entropy. We further prove that if a group containing an infinite order element acts on an infinite Hausdorff uniform space and the action possesses periodic specification, then it is Devaney chaotic.