Speaker: Carsten Petersen, Roskilde University
January 12, 2024 11:30 AM
- 12:30 PM
Abstract:
We study classes of transcendental Horn and Adam maps, which contain the classical horn maps and their quotients coming from the dynamics on simple parabolic basins such as z2+1/4 on the Cauliflower. We define and describe the structure of the dynamical and parameter ''lagoa rays'' and use these rays to design the Yoccoz puzzle machinery in this setting. As a first consequence, we obtain the precise asymptotics of secondary satellite copies of ``principal elephants'' near the cusp of the Mandelbrot set.