A note on stretched exponential decay of correlations for the Viana-Alves map

Mathematics – Dynamical Systems

Scientific paper

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Scientific paper

In this brief note, we prove stretched exponential upper bounds for the
correlation functions of the absolutely continuous invariant measure of the
skew product studied by Viana and Alves. This improves the superpolynomial
bounds obtained by Alves, Luzzatto, and Pinheiro.

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