This talk is mainly about the dynamics of rational maps on the Riemann sphere. We will show that every postcritically finite rational map with non-empty Fatou set can be decomposed into bubble rational maps and Sierpinski rational maps. Based on this theory, an invariant and finite connected graph can be constructed in the Julia set. This is a joint work with Guizhen Cui and Yan Gao.

Zoom ID: 875 7470 1894

Password: 101624