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arxiv: 1404.2212 · v3 · pith:KZHKWVTRnew · submitted 2014-04-08 · 🧮 math.DS

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

classification 🧮 math.DS
keywords mapsclassexpandinginfinitemarkovmathbbmixinguniformly
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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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