# Area and Hausdorff Dimension of Julia Sets of Entire Functions

 dc.contributor.author McMullen, Curtis T. dc.date.accessioned 2010-01-28T18:41:53Z dc.date.issued 1987 dc.identifier.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. en_US dc.identifier.issn 0002-9947 en_US dc.identifier.uri http://nrs.harvard.edu/urn-3:HUL.InstRepos:3597233 dc.description.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. en_US dc.description.sponsorship Mathematics en_US dc.language.iso en_US en_US dc.publisher American Mathematical Society en_US dc.relation.isversionof doi:10.2307/2000602 en_US dash.license LAA dc.title Area and Hausdorff Dimension of Julia Sets of Entire Functions en_US dc.type Journal Article en_US dc.description.version Version of Record en_US dc.relation.journal Transactions- American Mathematical Society en_US dash.depositing.author McMullen, Curtis T. dc.date.available 2010-01-28T18:41:53Z

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