Dynamics of quadratic polynomials: Complex bounds for real maps

Preprint

1 April 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/9504206

Abstract

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.

Keywords

BOUNDED COMBINATORICS
QUADRATIC POLYNOMIALS
SULLIVAN'S COMPLEX
LOCAL CONNECTIVITY
REAL QUADRATICS
COMPLEX BOUNDS
YIELDS COMPLEX
REAL MAPS

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Version 1, 1995-04-01, ArXiv

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