Relative ergodic properties of C*-dynamical systems

Rocco Duvenhage; Farrukh Mukhamedov; F. Fidaleo

doi:10.1142/S0219025714500052

Relative ergodic properties of C*-dynamical systems

Rocco Duvenhage, Farrukh Mukhamedov, F. Fidaleo

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Article number	1450005
Journal	Infinite Dimensional Analysis, Quantum Probability and Related Topics
Volume	17
Issue number	1
DOIs	https://doi.org/10.1142/S0219025714500052
Publication status	Published - 2014
Externally published	Yes

Keywords

C*-dynamical systems
Unique ergodicity
higher order mixing
joinings
semigroup actions
unique weak mixing
weighted means

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Mathematical Physics
Applied Mathematics

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10.1142/S0219025714500052

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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.",

keywords = "C*-dynamical systems, Unique ergodicity, higher order mixing, joinings, semigroup actions, unique weak mixing, weighted means",

author = "Rocco Duvenhage and Farrukh Mukhamedov and F. Fidaleo",

note = "Funding Information: The research of R.D. is supported by the National Research Foundation of South Africa. F.M. acknowledges the MOHE Grants FRGS11-022-0170, ERGS13-024-0057. He also thanks the Junior Associate scheme of the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy.",

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T1 - Relative ergodic properties of C*-dynamical systems

AU - Duvenhage, Rocco

AU - Mukhamedov, Farrukh

AU - Fidaleo, F.

N1 - Funding Information: The research of R.D. is supported by the National Research Foundation of South Africa. F.M. acknowledges the MOHE Grants FRGS11-022-0170, ERGS13-024-0057. He also thanks the Junior Associate scheme of the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - C-dynamical systems

KW - Unique ergodicity

KW - higher order mixing

KW - joinings

KW - semigroup actions

KW - unique weak mixing

KW - weighted means

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Relative ergodic properties of C*-dynamical systems

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Keywords

ASJC Scopus subject areas

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