Relative ergodic properties of C*-dynamical systems
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Date
Authors
Duvenhage, Rocco de Villiers
Mukhamedov, Farrukh
Journal Title
Journal ISSN
Volume Title
Publisher
World Scientific Publishing
Abstract
We study various ergodic properties of C*-dynamical systems inspired by unique ergodicity.
In particular we work in a framework allowing for ergodic properties defined relative
to various subspaces, and in terms of weighted means. Our main results are characterizations
of such relative ergodic properties, ergodic theorems resulting from these
properties, and examples exhibiting these properties.
Description
Keywords
Unique ergodicity, Unique weak mixing, C*-dynamical systems, Semigroup actions, Weighted means, Higher order mixing, Joinings
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Citation
Duvenhage, RDV & Mukhamedov, F 2014, 'Relative ergodic properties of C*-dynamical systems', Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 17, no.1, pp. 145005-1 -145005-26.