On The Support of The Bifurcation Measure of Cubic Polynomials

Abstract

We construct new examples of cubic polynomials with a parabolic fixed point that cannot be approximated by Misiurewicz polynomials. In particular, such parameters admit maximal bifurcations, but do not belong to the support of the bifurcation measure.

References in corpus (2)

• On Multicorns and Unicorns II: Bifurcations in Spaces of Antiholomorphic Polynomials
• Non-landing parameter rays of the multicorns