Mathematical Proceedings of the Cambridge Philosophical Society · 1996 · 35 citations · 5 references
Natural SciencesMathematicsSet TheoryTopologyAnalytic GeometryFractal GeometryEntire FunctionsJulia SetsRiemann - Roch TheorySingularities
Abstract Let f be a transcendental entire function such that the finite singularities of f −1 lie in a bounded set. We show that the Hausdorff dimension of the Julia set of such a function is strictly greater than one.
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Iterates of meromorphic functions: I
I. N. Baker, Janina Kotus, Lü Yinian · Ergodic Theory and Dynamical Systems · 1991 · 112 citations