Displaying similar documents to “On the Weak Isomorphism of Strictly Ergodic Homeomorphisms.”

Hopf's ratio ergodic theorem by inducing

Roland Zweimüller (2004)

Colloquium Mathematicae


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.

Operators with an ergodic power

Teresa Bermúdez, Manuel González, Mostafa Mbekhta (2000)

Studia Mathematica


We prove that if some power of an operator is ergodic, then the operator itself is ergodic. The converse is not true.