J. Mod. Dyn. 12 (2018) 285-313.
Ian Melbourne and Dalia Terhesiu
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.