Rates of mixing for non-Markov infinite measure semiflows

Bruin, Henk; Melbourne, Ian; Terhesiu, Dalia

doi:10.1090/tran/7582

Rates of mixing for non-Markov infinite measure semiflows
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by Henk Bruin, Ian Melbourne and Dalia Terhesiu PDF

Trans. Amer. Math. Soc. 371 (2019), 7343-7386 Request permission

Abstract:

We develop an abstract framework for obtaining optimal rates of mixing and higher order asymptotics for infinite measure semiflows. Previously, such results were restricted to the situation where there is a first return Poincaré map that is uniformly expanding and Markov. As illustrations of the method, we consider semiflows over non-Markov Pomeau–Manneville intermittent maps with infinite measure, and we also obtain mixing rates for semiflows over Collet–Eckmann maps with nonintegrable roof function.

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