Andrew Brown (University of Liverpool)

Andrew Brown (University of Liverpool)

Explore the intricacies of the escaping set in transcendental entire functions during this 40-minute lecture from the Simons Semester on Dynamics. Delve into the Strong Eremenko Conjecture and its counterexamples, focusing on functions with bounded singular values. Examine the growth characteristics and topological properties of these counterexamples, gaining insights into the ongoing research in this field. Learn about the historical context of Eremenko's conjecture from the 1980s and discover how recent findings have shaped our understanding of the escaping set's behavior.