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Wolff, M. (2022) Transcendental Julia Sets of Positive Finite Lebesgue Measure. arXiv: 2204.11089v1.

has been cited by the following article:

• TITLE: The Lebesgue Measure of the Julia Sets of Permutable Transcendental Entire Functions

  AUTHORS: Cunji Yang, Shaomin Wang

  KEYWORDS: Transcendental Entire Function, Permutable Functions, Random Dynamics, Julia Set, Lebesgue Measure

  JOURNAL NAME: Advances in Pure Mathematics, Vol.12 No.9, September 23, 2022

  ABSTRACT: In 1958, Baker posed the question that if f and g are two permutable transcendental entire functions, must their Julia sets be the same? In order to study this problem of permutable transcendental entire functions, by the properties of permutable transcendental entire functions, we prove that if f and g are permutable transcendental entire functions, then mes (J(f)) = mes (J(g)). Moreover, we give some results about the zero measure of the Julia sets of the permutable transcendental entire functions family.