Hyperbolicity of renormalization of critical circle maps
Complex a priori bounds revisited
Geography of the cubic connectedness locus : intertwining surgery
Dynamics of quadratic polynomials : complex bounds for real maps
We prove complex bounds for infinitely renormalizable real quadratic maps with essentially bounded combinatorics. This is the last missing ingredient in the problem of complex bounds for all infinitely renormalizable real quadratics. One of the corollaries is that the Julia set of any real quadratic map , , is locally connected.
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