On the MLC Conjecture and the Renormalization Theory in Complex Dynamics
Dynamical Systems
2026-01-01 v1
Abstract
In this Note, we present recent developments in the Renormalization Theory of quadratic polynomials and discuss their applications, with an emphasis on the MLC conjecture, the problem of local connectivity of the Mandelbrot set, and on its geometric counterparts.
Cite
@article{arxiv.2512.24171,
title = {On the MLC Conjecture and the Renormalization Theory in Complex Dynamics},
author = {Dzmitry Dudko},
journal= {arXiv preprint arXiv:2512.24171},
year = {2026}
}
Comments
To appear in the Proceedings of the ICM 2026