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Teichmüller space for iterated function systems

Hille, Martial R.; Snigireva, Nina


In this paper we investigate families of iterated function systems (IFS) and conformal iterated function systems (CIFS) from a deformation point of view. Namely, we introduce the notion of Teichm¨uller space for finitely and infinitely generated (C)IFS and study its topological and metric properties. Firstly, we completely classify its boundary. In particular, we prove that this boundary essentially consists of inhomogeneous systems. Secondly, we equip Teichmüller space for (C)IFS with...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
Source: Conformal Geometry and Dynamics of the American Mathematical Society
DOI: 10.1090/S1088-4173-2012-00241-X


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