Geodesic
Hopf's ratio ergodic theorem by inducing
Roland Zweimüller1
1 Mathematics Department Imperial College London 180 Queen's Gate London SW7 2AZ, UK
Colloquium Mathematicum, Tome 101 (2004) no. 2, pp. 289-292

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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.
DOI : 10.4064/cm101-2-11
Keywords: present quick easy proof classical stepanov hopf ratio ergodic theorem deriving birkhoffs ergodic theorem simple inducing argument

Roland Zweimüller 1

1 Mathematics Department Imperial College London 180 Queen's Gate London SW7 2AZ, UK 
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Roland Zweimüller. Hopf's ratio ergodic theorem by inducing. Colloquium Mathematicum, Tome 101 (2004) no. 2, pp. 289-292. doi: 10.4064/cm101-2-11

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