Hopf's ratio ergodic theorem by inducing

Roland Zweimüller

Colloquium Mathematicae (2004)

  • Volume: 101, Issue: 2, page 289-292
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Roland Zweimüller. "Hopf's ratio ergodic theorem by inducing." Colloquium Mathematicae 101.2 (2004): 289-292. <http://eudml.org/doc/283452>.

@article{RolandZweimüller2004,
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.},
author = {Roland Zweimüller},
journal = {Colloquium Mathematicae},
keywords = {ratio ergodic theorem; induced transformation},
language = {eng},
number = {2},
pages = {289-292},
title = {Hopf's ratio ergodic theorem by inducing},
url = {http://eudml.org/doc/283452},
volume = {101},
year = {2004},
}

TY - JOUR
AU - Roland Zweimüller
TI - Hopf's ratio ergodic theorem by inducing
JO - Colloquium Mathematicae
PY - 2004
VL - 101
IS - 2
SP - 289
EP - 292
AB - 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.
LA - eng
KW - ratio ergodic theorem; induced transformation
UR - http://eudml.org/doc/283452
ER -

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