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Markers and the ratio ergodic theorem via tiling

Benjamin D. Miller,Anush Tserunyan

arXiv (Cornell University)（2022）

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Abstract
We establish a marker lemma for aperiodic Borel transformations, using which we provide a measureless strengthening of Dowker's ratio ergodic theorem for conservative nonsingular transformations.
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Key words
ergodic theorem,markers
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