Relative ergodic properties of C*-dynamical systems
| dc.contributor.author | Duvenhage, Rocco de Villiers | |
| dc.contributor.author | Mukhamedov, Farrukh | |
| dc.contributor.email | rocco.duvenhage@up.ac.za | en_ZA |
| dc.date.accessioned | 2015-06-30T10:30:24Z | |
| dc.date.available | 2015-06-30T10:30:24Z | |
| dc.date.issued | 2014-03 | |
| dc.description.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. | en_ZA |
| dc.description.librarian | hb2015 | en_ZA |
| dc.description.sponsorship | National Research Foundation of South Africa. MOHE Grants FRGS11-022-0170, ERGS13-024- 0057. Junior Associate scheme of the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy. | en_ZA |
| dc.description.uri | http://www.worldscientific.com/worldscinet/idaqp | en_ZA |
| dc.identifier.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. | en_ZA |
| dc.identifier.issn | 0219-0257 (print) | |
| dc.identifier.issn | 1793-6306 (online) | |
| dc.identifier.other | 10.1142/S0219025714500052 | |
| dc.identifier.uri | http://hdl.handle.net/2263/45821 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | World Scientific Publishing | en_ZA |
| dc.rights | © World Scientific Publishing. Electronic version of an article published in Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 17, no.1, pp. 145005-1-145005-26, 2014. doi : 10.1142/S0219025714500052. The original publication is available at : http://www.worldscientific.com/worldscinet/idaqp | en_ZA |
| dc.subject | Unique ergodicity | en_ZA |
| dc.subject | Unique weak mixing | en_ZA |
| dc.subject | C*-dynamical systems | en_ZA |
| dc.subject | Semigroup actions | en_ZA |
| dc.subject | Weighted means | en_ZA |
| dc.subject | Higher order mixing | en_ZA |
| dc.subject | Joinings | en_ZA |
| dc.title | Relative ergodic properties of C*-dynamical systems | en_ZA |
| dc.type | Postprint Article | en_ZA |