Displaying similar documents to “Induced contraction semigroups and random ergodic theorems”

Hopf's ratio ergodic theorem by inducing

Roland Zweimüller (2004)

Colloquium Mathematicae

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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.

Ergodic theorems for subadditive superstationary families of random sets with values in Banach spaces

G. Krupa (1998)

Studia Mathematica

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Under different compactness assumptions pointwise and mean ergodic theorems for subadditive superstationary families of random sets whose values are weakly (or strongly) compact convex subsets of a separable Banach space are presented. The results generalize those of [14], where random sets in d are considered. Techniques used here are inspired by [3].