The chaos game on a general iterated function system
| dc.contributor.author | Barnsley, Michael | |
| dc.contributor.author | vince, Andrew | |
| dc.date.accessioned | 2015-12-10T23:11:53Z | |
| dc.date.issued | 2011 | |
| dc.date.updated | 2015-12-10T09:24:54Z | |
| dc.description.abstract | The main theorem of this paper establishes conditions under which the 'chaos game' algorithm almost surely yields the attractor of an iterated function system. The theorem holds in a very general setting, even for non-contractive iterated function systems, and under weaker conditions on the random orbit of the chaos game than obtained previously. | |
| dc.identifier.issn | 0143-3857 | |
| dc.identifier.uri | http://hdl.handle.net/1885/63880 | |
| dc.publisher | Cambridge University Press | |
| dc.source | Ergodic Theory and Dynamical Systems | |
| dc.title | The chaos game on a general iterated function system | |
| dc.type | Journal article | |
| local.bibliographicCitation.issue | 4 | |
| local.bibliographicCitation.lastpage | 1079 | |
| local.bibliographicCitation.startpage | 1073 | |
| local.contributor.affiliation | Barnsley, Michael, College of Physical and Mathematical Sciences, ANU | |
| local.contributor.affiliation | vince, Andrew, University of Florida | |
| local.contributor.authoruid | Barnsley, Michael, u4138881 | |
| local.description.embargo | 2037-12-31 | |
| local.description.notes | Imported from ARIES | |
| local.identifier.absfor | 010203 - Calculus of Variations, Systems Theory and Control Theory | |
| local.identifier.absfor | 080201 - Analysis of Algorithms and Complexity | |
| local.identifier.ariespublication | f2965xPUB859 | |
| local.identifier.citationvolume | 31 | |
| local.identifier.doi | 10.1017/S0143385710000428 | |
| local.identifier.scopusID | 2-s2.0-80053050396 | |
| local.identifier.thomsonID | 000293443400004 | |
| local.type.status | Published Version |
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