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Title:
mini-course: A priori bounds for neutral quadratic polynomials: Part 4
Speaker:
Abstract:
Douady-Ghys's surgery implies that a neutral quadratic polynomial with a bounded type rotation number has a Siegel quasidisk containing the critical point on its boundary. In this minicourse, we will show that such a Siegel quasidisk degenerates in a controllable way as the rotation number becomes unbounded. This unifies (in a certain sense) the Inou-Shishikura near-parabolic and the Pacman near-Siegel renormalization theories for neutral quadratic polynomials (parametrized by the main cardioid).
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