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Working paper

Slices of Parameter Space of Cubic Polynomials

Blokh A., Oversteegen L., Timorin V.
In this paper, we study slices of the parameter space of cubic polynomials, up to affine conjugacy, given by a fixed value of the multiplier at a non-repelling fixed point. In particular, we study the location of the maincubioid in this parameter space. The maincubioid is the set of affine conjugacy classes of complex cubic polynomials that have certain dynamical properties generalizing those of polynomials z2+c for c in the filled main cardioid.