Hopf's ratio ergodic theorem by inducing
Roland Zweimüller
Colloquium Mathematicae, Tome 100 (2004), p. 289-292 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:283452 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm101-2-11,
     author = {Roland Zweim\"uller},
     title = {Hopf's ratio ergodic theorem by inducing},
     journal = {Colloquium Mathematicae},
     volume = {100},
     year = {2004},
     pages = {289-292},
     zbl = {1065.28010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm101-2-11}
}

Roland Zweimüller. Hopf's ratio ergodic theorem by inducing. Colloquium Mathematicae, Tome 100 (2004) pp. 289-292. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm101-2-11/