Mating non-renormalizable quadratic polynomials

Details Mating non-renormalizable quadratic polynomials Mating non-renormalizable quadratic polynomials

2006-10-10

arxiv.org/abs/math/0610343v5

Mathematics

Dynamical Systems

Proof of Theorem 7.2 corrected in the updated version

Scientific paper

In this paper we prove the existence and uniqueness of matings of the
basilica with any quadratic polynomial which lies outside of the 1/2-limb of M,
is non-renormalizable, and does not have any non-repelling periodic orbits.

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