Relative ergodic properties of C*-dynamical systems

Duvenhage, Rocco and Mukhamedov, Farrukh (2014) Relative ergodic properties of C*-dynamical systems. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 17 (1). 1450005-1-26. ISSN 0219-0257

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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.

Item Type:	Article (Journal)
Additional Information:	5537/36328
Uncontrolled Keywords:	Unique ergodicity; unique weak mixing; C*-dynamical systems; semigroup actions; weighted means; higher order mixing; joinings
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	11 Apr 2014 12:12
Last Modified:	26 Sep 2017 10:47
URI:	http://irep.iium.edu.my/id/eprint/36328

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