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arXiv · 0804.2773

A General Correspondence between Averages and Integrals

Henry Towsner
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Abstract

Recent work has generalized the Furstenberg correspondence between sets of integers and dynamical systems to versions which involve sequences of finite graphs or sequences of $L^\infty$ functions. We give a unified version of the theorem subsuming all these generalizations.

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Henry Towsner. 2008-04-17. A General Correspondence between Averages and Integrals. https://arxiv.org/abs/0804.2773

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