Similarity at Misiurewicz Maps in the Cubic Parameter Curves
Dynamical Systems
2025-10-31 v1
Abstract
We present a proof of the conjecture by Bonifant and Milnor (see arXiv:2503.08868) regarding the similarity between the connectedness locus of the curve at Misiurewicz parameters and their corresponding filled Julia sets in a neighborhood of the corresponding free co-critical point. The proof is in parallel with the generalization of Tan Lei's proof of similarity in the Mandelbrot set developed by Kawahira.
Cite
@article{arxiv.2510.26515,
title = {Similarity at Misiurewicz Maps in the Cubic Parameter Curves},
author = {Araceli Bonifant and Brady Young},
journal= {arXiv preprint arXiv:2510.26515},
year = {2025}
}
Comments
19 pages, 3 figures