# 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. Full Text & Related Files: McMullen_AreaHausdorfDim.pdf (1.268Mb; PDF) 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 Downloads of this work: