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Lebesgue measure of Julia sets and escaping sets of certain entire functions

Published 9 Aug 2017 in math.DS and math.CV | (1708.02819v2)

Abstract: We give criteria for the escaping set and the Julia set of an entire function to have positive measure. The results are applied to Poincar\'e functions of semihyperbolic polynomials and to the Weierstra{\ss} $\sigma$-function.

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Authors (1)

  1. Walter Bergweiler 

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