Newhouse Phenomenon in the Complex Hénon Family

Explore a 45-minute lecture on the Newhouse phenomenon in the complex Hénon family, presented by Zhiyuan Zhang from Université Sorbonne Paris Nord as part of the Simons Semester on Dynamics. Delve into ongoing research conducted in collaboration with Avila and Lyubich, which demonstrates the existence of maps in the complex Hénon family featuring stable homoclinic tangencies. Discover the novel mechanism behind stable intersections between two dynamical Cantor sets, generated by two classes of conformal Iterated Function Systems (IFSs) on the complex plane. Gain insights into this cutting-edge work in progress and its implications for the study of complex dynamical systems.

Zhiyuan Zhang (Université Sorbonne Paris Nord)