A Kingman-like Theorem

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.

18 pages, 1 Figure. Included some references, unused information excluded and correction of typographic minor errors

References in corpus (1)

• An ergodic theorem for non-invariant measures