A General Correspondence between Averages and Integrals

Details A General Correspondence between Averages and Integrals A General Correspondence between Averages and Integrals

2008-04-17

arxiv.org/abs/0804.2773v1

Mathematics

Dynamical Systems

Scientific paper

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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