preprint-author: 
Dzmitry Dudko
preprint-title: 
On the MLC Conjecture and the Renormalization Theory in Complex Dynamics
preprint-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.

Submitted 30 December, 2025; originally announced December 2025.

arXiv:2512.24171  

 

preprint-year: 
2025