On The Support of The Bifurcation Measure of Cubic Polynomials
Dynamical Systems
2020-09-18 v2
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.
Keywords
Cite
@article{arxiv.1806.04852,
title = {On The Support of The Bifurcation Measure of Cubic Polynomials},
author = {Hiroyuki Inou and Sabyasachi Mukherjee},
journal= {arXiv preprint arXiv:1806.04852},
year = {2020}
}