Submitted by ims_edit on Fri, 06/26/2026 - 13:53
preprint-id:
preprint-title:
MLC for parabolically bounded primitive renormalization
preprint-abstract:
We prove 
bounds and MLC (local connectivity of the Mandelbrot set 
) for a class of infinitely renormalizable parameters whose renormalization type is primitive but can approach the cusp of . To this end we develop and refine a variety of tools that allow us to control degeneration of renormalizations. They include the Thin-Thick Decomposition, the Value Calculus, the Wanderers Theorem, and the Wave Lemma. △ Less
Submitted 25 June, 2026; originally announced June 2026.
preprint-year:
2026