W. de Melo, Rigidity and renormalization in one dimensional dynamical systems, Proc. Int. Cong. Math. Berlin, vol. 2, 1998, pp. 765-778. Home/Search Document Details and Download
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The Mathematical Work of Curt McMullen - Milnor (Correct)
....disk is a quasicircle contained in b J , while the corresponding limit for the lled Julia set K(f) the union of bounded orbits for f) is the entire sphere b C . There has been very signi cant subsequent work in renormalization, based in part on McMullen s ideas. Compare the discussion in [Me]. Note in particular [L2] which implies that the boundary of the Mandelbrot set is asymptotically self similar about the Feigenbaum point, and [L3] which proves existence of a full horseshoe structure for the real renormalization operator, and uses it, together with work of Martens and Nowicki, ....
W. de Melo, Rigidity and renormalization in one dimensional dynamical systems, Proc. Int. Cong. Math. Berlin, vol. 2, 1998, pp. 765-778.
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