Brian Raines, Baylor University
Shadowing on Julia Sets
3:30 pm, Friday, April 13, TUC 245
Abstract:Julia sets of polynomials in the complex plane are fascinating mathematical objects. Their intricate topological structure has implications for their dynamics. We prove that Julia sets which are either “dendrites” (locally-connected, infinitely branching trees) or “circular” (the same structure but with branch points replaced by circles) have a strong form of orbital stability known as shadowing.