Dynamics of quadratic polynomials: Complex bounds for real maps

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We extend Sullivan's complex a priori bounds to real quadratic polynomials with essentially bounded combinatorics. Combined with the previous results of the first author, this yields complex bounds for all real quadratics. Local connectivity of the corresponding Julia sets follows.

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Dynamical Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/152977

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9504206
 http://arxiv.org/abs/math/9504206

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arXiv