Mating Non-Renormalizable Quadratic Polynomials |
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| Authors: | Magnus Aspenberg and Michael Yampolsky |
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| Affiliation: | (1) Mathematics Division, RTH-Royal Institute of Technology, st-10044, Stockholm, Sweden;(2) Mathematics Department, University of Toronto, 40 St George Street, Toronto, ON, M5S 2E4, Canada |
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| 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  , is non- renormalizable, and does not have any non-repelling periodic orbits. 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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