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

@article{Melbourne2015MixingPF,
  title={Mixing properties for toral extensions of slowly mixing dynamical systems with finite and infinite measure},
  author={Ian Melbourne and Dalia Terhesiu},
  journal={arXiv: Dynamical Systems},
  year={2015}
}
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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