English

A Proof of the Ergodic Theorem using Nonstandard Analysis

Dynamical Systems 2015-02-24 v1 Probability

Abstract

The following paper follows on from work by Kamae, and gives a rigorous proof of the Ergodic Theorem, using nonstandard analysis.

Keywords

Cite

@article{arxiv.1502.06441,
  title  = {A Proof of the Ergodic Theorem using Nonstandard Analysis},
  author = {Tristram de Piro},
  journal= {arXiv preprint arXiv:1502.06441},
  year   = {2015}
}
R2 v1 2026-06-22T08:35:30.095Z