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Fast basins and branched fractal manifolds of attractors of iterated function systems

Barnsley, Michael; Vince, Andrew


The fast basin of an attractor of an iterated function system (IFS) is the set of points in the domain of the IFS whose orbits under the associated semigroup intersect the attractor. Fast basins can have non-integer dimension and comprise a class of deterministic fractal sets. The relationship between the basin and the fast basin of a point-fibred attractor is analyzed. To better understand the topology and geometry of fast basins, and because of analogies with analytic continuation, branched...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
Source: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
DOI: 10.3842/SIGMA.2015.084


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