A simple proof of Sullivan's complex bounds
Dynamical Systems
2026-01-30 v1 Complex Variables
Abstract
About 35 years ago Dennis Sullivan proved a precompactness property ("complex bounds") for infinitely renormalizable real quadratic polynomials with bounded combinatorics. We present a simple "soft" proof of this remarkable result.
Cite
@article{arxiv.2601.21326,
title = {A simple proof of Sullivan's complex bounds},
author = {Genadi Levin},
journal= {arXiv preprint arXiv:2601.21326},
year = {2026}
}