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Statistical aspects of mean field coupled intermittent maps

Published 9 Mar 2023 in math.DS, math-ph, and math.MP | (2303.05311v2)

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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