Eremenko's Conjecture for Functions with Real Zeros: The Role of the Minimum Modulus
(2020)
Journal Article
Nicks, D. A., Rippon, P. J., & Stallard, G. M. (2021). Eremenko's Conjecture for Functions with Real Zeros: The Role of the Minimum Modulus. International Mathematics Research Notices, 2021(18), 13946-13974. https://doi.org/10.1093/imrn/rnaa020
We consider the class of real transcendental entire functions f of finite order with only real zeros and show that if the iterated minimum modulus tends to 8, then the escaping set I(f) of f has the structure of a spider's web, in which case Eremenko... Read More about Eremenko's Conjecture for Functions with Real Zeros: The Role of the Minimum Modulus.