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The Chaos game on a general iterated function system from a topological point of view

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dc.contributor.authorBarnsley, Michael F.
dc.contributor.authorLeśniak, Krzysztof
dc.date.accessioned2015-05-13T00:53:36Z
dc.date.available2015-05-13T00:53:36Z
dc.date.issued2014-11
dc.date.updated2015-12-10T11:28:27Z
dc.description.abstractWe investigate combinatorial issues relating to the use of random orbit approximations to the attractor of an iterated function system with the aim of clarifying the role of the stochastic process during the generation of the orbit. A Baire category counterpart of almost sure convergence is presented.
dc.format10 pages
dc.identifier.issn0218-1274en_AU
dc.identifier.urihttp://hdl.handle.net/1885/13455
dc.publisherWorld Scientific Publishing
dc.rights© World Scientific Publishing Company
dc.rightshttp://www.sherpa.ac.uk/romeo/issn/0218-1274/..."Author's pre-print on any website or open access repository" from SHERPA/RoMEO site (as at 19/05/15)
dc.sourceInternational Journal of Bifurcation and Chaos
dc.subjectdisjunctive sequence
dc.subjectporous set
dc.subjectRandom orbit
dc.titleThe Chaos game on a general iterated function system from a topological point of view
dc.typeJournal article
local.bibliographicCitation.issue11en_AU
local.bibliographicCitation.lastpage1450139-10en_AU
local.bibliographicCitation.startpage1450139-1en_AU
local.contributor.affiliationBarnsley, M. F., Mathematical Sciences Institute, The Australian National Universityen_AU
local.contributor.authoruidu4138881en_AU
local.identifier.absfor010199 - Pure Mathematics not elsewhere classified
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.ariespublicationa383154xPUB1982
local.identifier.citationvolume24en_AU
local.identifier.doi10.1142/S0218127414501399en_AU
local.identifier.scopusID2-s2.0-84924795688
local.publisher.urlhttp://www.worldscientific.com/en_AU
local.type.statusSubmitted Versionen_AU

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