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Mixing properties for toral extensions of slowly mixing dynamical systems with finite and infinite measure (1512.00095v2)
Published 30 Nov 2015 in math.DS
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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