Rocco Duvenhage
Abstract
We study characterizations of ergodicity, weak mixing and strong mixing of W*-dynamical systems in terms of joinings, and also show the existence of ergodic joinings. Simple applications of some of these results are given, namely a weak ergodic theorem and a Halmos-von Neumann type theorem.
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We study characterizations of ergodicity, weak mixing and strong mixing of W*-dynamical systems in terms of joinings, and also show the existence of ergodic joinings. Simple applications of some of these results are given, namely a weak ergodic theorem and a Halmos-von Neumann type theorem.
Key concepts: Ergodicity, Mixing (physics), Ergodic theory, Dynamical systems theory, Context (archaeology), Mathematics, Dynamical system (definition), Statistical physics