Distributional Chaos in the Baire Space
Dynamical Systems
2023-08-21 v1
Abstract
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.
Cite
@article{arxiv.2308.09117,
title = {Distributional Chaos in the Baire Space},
author = {Jasmin Mohn and Brian E. Raines},
journal= {arXiv preprint arXiv:2308.09117},
year = {2023}
}