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Dissertation

Lebesgue Measure of Escaping Sets of Entire Functions in the Eremenko-Lyubich...

The main aim of this thesis is to try to understand dynamical behaviours of transcendental entire functions from a measure-theoretic point of view. More precisely, we concentrate on the Eremenko-Lyubich class $\b$, and study the measure properties of the Julia and escaping sets. For a transcendental...