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arXiv · 2303.05311

Statistical aspects of mean field coupled intermittent maps

Wael Bahsoun·Alexey Korepanov
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Abstract

We study infinite systems of mean field weakly coupled intermittent maps in the Pomeau-Manneville scenario. We prove that the coupled system admits a unique ``physical'' stationary state, to which all absolutely continuous states converge. Moreover, we show that suitably regular states converge polynomially.

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Wael Bahsoun, Alexey Korepanov. 2023-03-09. Statistical aspects of mean field coupled intermittent maps. https://arxiv.org/abs/2303.05311

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