Distributional Chaos in the Baire Space
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math.DS
keywords
chaosdistributionalspacebairedensesubshiftstypealphabet
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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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