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Title:
Renormalization ideas in Dynamics: How Feigenbaum's discovery changed the World
Speaker:
Abstract:
We will give a general idea of the renormalization worldview in Dynamics and overview its numerous occurences, with the main focus on Holomorphic and Real one-dimensional dynamics. It will include the following themes: the MLC problem it its connection to the Quadratic-like Renormalization responsible for the shapes of baby Mandelbrot copies, the Regular or Stochastic picture of the logistic family, construction of Julia sets of positive area, and Pacman Renormalization responsible for self-similarity of the Mandelbrot set near the main cardioid.
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