A Kingman-like Theorem
Dynamical Systems
2020-07-09 v2
Abstract
We provide a Kingman-like Theorem for arbitrary finite measures and a version of Birkhoff's Theorem for bounded observable. As an application, we show that Birkhoff's limit exists for some continuous observable, in an example of Bowen.
Cite
@article{arxiv.2006.14100,
title = {A Kingman-like Theorem},
author = {Vinicius Coelho and Luciana Salgado},
journal= {arXiv preprint arXiv:2006.14100},
year = {2020}
}
Comments
18 pages, 1 Figure. Included some references, unused information excluded and correction of typographic minor errors