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| Title: | Attractors of directed graph IFSs that are not standard IFS attractors and their Hausdorff measure |
| Authors: | Boore, Graeme
Falconer, Kenneth John |
| Keywords: | QA Mathematics |
| Issue Date: | 2013 |
| Citation: | Boore , G & Falconer , K J 2013 , ' Attractors of directed graph IFSs that are not standard IFS attractors and their Hausdorff measure ' Mathematical Proceedings of the Cambridge Philosophical Society , vol 154 , no. 02 , pp. 325-349 . |
| Abstract: | For directed graph iterated function systems (IFSs) defined on R, we prove that a class of 2-vertex directed graph IFSs have attractors that cannot be the attractors of standard (1-vertex directed graph) IFSs, with or without separation conditions. We also calculate their exact Hausdorff measure. Thus we are able to identify a new class of attractors for which the exact Hausdorff measure is known. |
| Version: | Preprint |
| Status: | Peer reviewed |
| URI: | http://hdl.handle.net/10023/3237
http://journals.cambridge.org/abstract_S0305004112000576 |
| DOI: | http://dx.doi.org/10.1017/S0305004112000576 |
| ISSN: | 0305-0041 |
| Type: | Journal article |
| Rights: | This is an author version of this article. The published version (c) Cambridge Philosophical Society 2012 is available at http://journals.cambridge.org |
| Appears in Collections: | Pure Mathematics Research
University of St Andrews Research
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