Relative ergodic properties of C*-dynamical systems-Reference-Cited by-同舟云学术

Relative ergodic properties of C*-dynamical systems

Published:2014-03 Issue:01 Volume:17 Page:1450005
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

Duvenhage Rocco¹,Mukhamedov Farrukh²

Affiliation:

1. Department of Physics, University of Pretoria, Pretoria 0002, South Africa

2. Department of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P. O. Box 141, 25710 Kuantan, Pahang, Malaysia

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025714500052

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