Time：14:00-15:30, Thursday, July 9 2026
Venue：E14-301
Speaker：Yugang Zhang, Universié de Bourgogne
Title：Equilibrium measure rigidity of regular polynomial endomorphisms of $\mathbb{C}^k$ and applications
Abstract：To a polynomial of one complex variable, one can associate a unique invariant probability measure of maximal entropy, introduced by Brolin, Lyubich, and Freire–Lopes–Mañé. This measure encodes a lot of dynamical information of the polynomial. Conversely, Beardon showed that if two polynomials have the same equilibrium measure, then they differ by an affine transformation that preserves the measure. I will present these results, as well as their generalization to higher dimensions and some applications.
