论文信息 - Geography of the cubic connectedness locus: Intertwining surgery

Geography of the cubic connectedness locus: Intertwining surgery

Abstract We exhibit products of Mandelbrot sets in the two-dimensional complex parameter space of cubic polynomials. Cubic polynomials in such a product may be renormalized to produce a pair of quadratic maps. The inverse construction intertwining two quadratics is realized by means of quasiconformal surgery. The associated asymptotic geography of the cubic connectedness locus is discussed in the Appendix.

Michael Yampolsky | Adam L. Epstein

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