Abstract
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 \({\mathcal {M}}\) , is non- renormalizable, and does not have any non-repelling periodic orbits.
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Communicated by L. Takhtajan
The first author was partially supported by the Foundation Blanceflor Boncompagni-Ludovisi, née Bildt and by the Fields Institute.
The second author was partially supported by an NSERC Discovery Grant.
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Aspenberg, M., Yampolsky, M. Mating Non-Renormalizable Quadratic Polynomials. Commun. Math. Phys. 287, 1–40 (2009). https://doi.org/10.1007/s00220-008-0598-y
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DOI: https://doi.org/10.1007/s00220-008-0598-y