A General Correspondence between Averages and Integrals

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.

References in corpus (1)

• Limits of Hypergraphs, Removal and Regularity Lemmas. A Non-standard Approach