2023/08/17 by Mohn, Jasmin, Raines, Brian E.
#37B10 #37B20 #37B99 #Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2308.09117
In this paper we consider the question of distributional chaos on non-compact metric dynamical systems. We focus on a shift space over a countable alphabet, the Baire Space. We prove that on the Baire Space subshifts of finite type exhibit dense distributional chaos and subshifts of bounded type that are perfect and have a dense set of periodic points also have distributional chaos.