Area and Hausdorff Dimension of Julia Sets of Entire Functions | Department of Mathematics

Area and Hausdorff Dimension of Julia Sets of Entire Functions

Event Information
Event Location: 
GAB 461
Event Date: 
Thursday, September 17, 2015 - 5:00pm

Abstract: We show that the Julia set of certain transcendental functions has positive area. We also give a growth criterion for points to be in the Julia set of an entire function of finite type. These are results presented in the 1987 Curt McMullen paper of the same title.