Jasmin Mohn, Brian E. Raines
Published 2023-08-17Version 1
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.
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The Zeta function, Periodic Points and Entropies of the Motzkin Shift
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