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arXiv · 1404.2212

Uniformly expanding Markov maps of the real line: exactness and infinite mixing

Marco Lenci
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Abstract

We give a fairly complete characterization of the exact components of a large class of uniformly expanding Markov maps of $\mathbb{R}$. Using this result, for a class of $\mathbb{Z}$-invariant maps and finite modifications thereof, we prove certain properties of infinite mixing recently introduced by the author.

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Marco Lenci. 2014-04-08. Uniformly expanding Markov maps of the real line: exactness and infinite mixing. https://doi.org/10.3934/dcds.2017163

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