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arXiv · 1512.00095

Mixing properties for toral extensions of slowly mixing dynamical systems with finite and infinite measure

Ian Melbourne·Dalia Terhesiu
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Abstract

We prove results on mixing and mixing rates for toral extensions of nonuniformly expanding maps with subexponential decay of correlations. Both the finite and infinite measure settings are considered. Under a Dolgopyat-type condition on nonexistence of approximate eigenfunctions, we prove that existing results for (possibly nonMarkovian) nonuniformly expanding maps hold also for their toral extensions.

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Ian Melbourne, Dalia Terhesiu. 2018-10-31. Mixing properties for toral extensions of slowly mixing dynamical systems with finite and infinite measure. https://arxiv.org/abs/1512.00095

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