Area and Hausdorff Dimension of Julia Sets of Entire Functions
| Title: | Area and Hausdorff Dimension of Julia Sets of Entire Functions |
| Author: | McMullen, Curtis T. |
| Citation: | McMullen, Curtis T. 1987. Area and Hausdorff dimension of Julia sets of entire functions. Transactions of the American Mathematical Society 300(1): 329–342. |
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| Abstract: | We show the Julia set of \(\lambda\sin(z)\) has positive area and the action of \(\lambda\sin(z)\) on its Julia set is not ergodic; the Julia set of \(\lambda\exp(z)\) has Hausdorff dimension two but in the presence of an attracting periodic cycle its area is zero. |
| Published Version: | doi:10.2307/2000602 |
| Terms of Use: | This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA |
| Citable link to this page: | http://nrs.harvard.edu/urn-3:HUL.InstRepos:3597233 |
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