The Escape Rate for Polynomials
MATH TABLE
When: April 29, 2026
4:30 pm - 5:30 pm
Where: Science Center 507
Address:
1 Oxford Street, Cambridge, MA 02138, United States
Speaker: Ilaria Seidel - Harvard University
In this talk, we explore a bridge between complex dynamics and potential theory. Given a polynomial f, how fast do points escape to infinity under iterated applications of f? We first show that the escape rate is given by the Green’s function for the complement of the filled Julia set. We then give a dynamical description of the unique energy-minimizing measure on the Julia set and, time permitting, discuss why it coincides with the unique entropy-maximizing measure.
Learn more at the Math Table website.