Hopf's ratio ergodic theorem by inducing
Volume 101 / 2004
Colloquium Mathematicum 101 (2004), 289-292
MSC: 28D05, 37A30.
DOI: 10.4064/cm101-2-11
Abstract
We present a very quick and easy proof of the classical Stepanov–Hopf ratio ergodic theorem, deriving it from Birkhoff's ergodic theorem by a simple inducing argument.
