Dynamical Systems Seminar

Title: Introduction to the core entropy theory of complex polynomials
Speaker: Yan Gao
Speaker Info: Sichuan/Northwestern
Brief Description:
Special Note:

The core entropy of polynomials, introduced by W. Thurston, is a dynamical invariant extending topological entropy for real maps to complex polynomials, whence providing a new tool to study the parameter space of polynomials. In the quadratic case, this theory is well studied by using the well-known structure of Mandelbrot set. So I first focus on the quadratic case by showing some known results, the idea of proofs and some pictures. Then I will say some generalizations in higher degree case based on my work with Tiozzo.
Date: Tuesday, November 13, 2018
Time: 4:00pm
Where: Lunt 104
Contact Person: Laura DeMarco
Contact email: demarco@northwestern.edu
Contact Phone: 847-491-5567
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