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arXiv · 2403.07497

Weyl mean equicontinuity and Weyl mean sensitivity of a random dynamical system

Yuan Lian
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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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Yuan Lian. 2024-03-12. Weyl mean equicontinuity and Weyl mean sensitivity of a random dynamical system. https://arxiv.org/abs/2403.07497

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