Dynamics Seminar

Event Information Sharkovsky Ordering on the Mandelbrot Set
14:00 on Monday October 02, 2023
15:00 on Monday October 02, 2023
BA6183, Bahen Center, 40 St. George St.
Reila Zheng

University of Toronto

Sharkovsky’s Theorem is a classical result on the forcing of periodic orbits of interval maps. In this talk, we will consider n-Sharkovsky orderings which describe orbit forcing of continuous maps on a tree. I will describe n-Sharkovsky orderings on the Mandelbrot set along principal and a family of non principal veins, and the dynamics of some coordinating parameters along these veins.