%0 Journal Article %T A General Correspondence between Averages and Integrals %A Henry Towsner %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0804.2773v1