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arXiv · 1911.02913

Pomeau-Manneville maps are global-local mixing

Claudio Bonanno·Marco Lenci
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Abstract

We prove that a large class of expanding maps of the unit interval with a $C^2$-regular indifferent point in 0 and full increasing branches are global-local mixing. This class includes the standard Pomeau-Manneville maps $T(x) = x + x^{p+1}$ mod 1 ($p \ge 1$), the Liverani-Saussol-Vaienti maps (with index $p \ge 1$) and many generalizations thereof.

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Claudio Bonanno, Marco Lenci. 2020-07-30. Pomeau-Manneville maps are global-local mixing. https://doi.org/10.3934/dcds.2020309

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