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An optimal transportation approach to the decay of correlations for non-uniformly expanding maps

An optimal transportation approach to the decay of correlations for non-uniformly expanding maps

We consider the transfer operators of non-uniformly expanding maps for potentials of various regularity, and show that a specific property of potentials (ā€˜flatnessā€™) implies a Ruelleā€“Perronā€“Frobenius theorem and a decay of the transfer operator of the same speed as that entailed by the constant potential. The method relies neither on ā€¦