Submitted by ims_edit on Mon, 11/03/2025 - 14:19
preprint-id:
preprint-title:
Similarity at Misiurewicz Maps in the Cubic Parameter Curves
preprint-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.
Submitted 30 October, 2025; originally announced October 2025.
preprint-year:
2025