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Hausdorff dimension of subsets of the parameter space for families of rational maps. (A generalization of Shishikura's result)
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UNSPECIFIED (1998) Hausdorff dimension of subsets of the parameter space for families of rational maps. (A generalization of Shishikura's result). NONLINEARITY, 11 (2). pp. 233-246. ISSN 0951-7715
Full text not available from this repository.Abstract
In this paper we extend Shishikura's result on the Hausdorff dimension of the boundary of the Mandelbrot set to higher-dimensional parameter spaces, for example the space of degree d polynomials, and show that some parameter subsets, including the boundary of the connectedness locus, have Hausdorff dimensions equal to the real dimension of the parameter space (which is four for cubic polynomials).
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Journal or Publication Title: | NONLINEARITY |
| Publisher: | IOP PUBLISHING LTD |
| ISSN: | 0951-7715 |
| Date: | March 1998 |
| Volume: | 11 |
| Number: | 2 |
| Number of Pages: | 14 |
| Page Range: | pp. 233-246 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/15914 |
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