Barnsley, Michael F.Leśniak, Krzysztof2015-05-132015-05-130218-1274http://hdl.handle.net/1885/13455We 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.10 pages© World Scientific Publishing Companyhttp://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)disjunctive sequenceporous setRandom orbit2014-1110.1142/S02181274145013992015-12-10