Transition Phenomena for the Attractor of an Iterated Function System
Krzysztof Leśniak,
Nina Snigireva,
Filip Strobin
et al.
Abstract:Iterated function systems (IFSs) and their attractors have been central to the theory of fractal geometry almost from its inception. And contractivity of the functions in the IFS has been central to the theory of iterated functions systems. If the functions in the IFS are contractions, then the IFS is guaranteed to have a unique attractor. Recently, however, there has been an interest in what occurs to the attractor at the boundary between contractvity and expansion of the IFS. That is the subject of this pape… Show more
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