Workshop: Newhouse phenomenon in the complex Hénon family

Date: 2023-04-11

Time: 15:00 - 16:00

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Zhiyuan Zhang, CNRS and Universite Sorbonne Paris Nord


In a work in progress with Avila and Lyubich, we show that there are maps in the complex Hénon family with a stable homoclinic tangency. This is due to a new mechanism on the stable intersections between two dynamical Cantor sets generated by two classes of conformal IFSs on the complex plane.