English

A General Correspondence between Averages and Integrals

Dynamical Systems 2008-04-18 v1 Logic

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 LL^\infty functions. We give a unified version of the theorem subsuming all these generalizations.

Keywords

Cite

@article{arxiv.0804.2773,
  title  = {A General Correspondence between Averages and Integrals},
  author = {Henry Towsner},
  journal= {arXiv preprint arXiv:0804.2773},
  year   = {2008}
}
R2 v1 2026-06-21T10:32:00.672Z