Pacman Renormalization
Speaker:
Nikita Selinger, University of Alabama at Birmingham
Date and Time:
Tuesday, May 28, 2019 - 11:40am to 12:10pm
Location:
Bahen Building, Room 1160
Abstract:
In a joint work with Misha Lyubich and Dima Dudko, we develop a theory of Pacman Renormalization inspired by earlier surgery construction by Branner and Douady. We show the hyperbolicity of periodic points of this renormalization with one-dimensional unstable manifold. This yield multiple consequences such as scaling law for centers of hyperbolic components attached to the main cardioid of the Mandelbrot set and local stability of certain Siegel discs.