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Weyl mean equicontinuity and Weyl mean sensitivity of a random dynamical system (2403.07497v1)
Published 12 Mar 2024 in math.DS
Abstract: In this article, we introduce the concepts of Weyl mean equicontinuity and Weyl mean sensitivity of a random dynamical system associated to an infinite countable discrete amenable group action. We obtain the dichotomy result to Weyl mean equicontinuity and Weyl mean sensitivity of a random dynamical system when the corresponding skew product transformation is minimal and \Omega is finite.
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