Renormalization Towers and the Local Connectivity of Julia Sets for Unicritical Polynomials

Zenodo (CERN European Organization for Nuclear Research) 2026 Open access

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Authors: Zen Revista, 10 MFC
DOI: 10.5281/zenodo.18145983
Cited by: 0

Abstract

We establish the local connectivity of Julia sets for infinitely renormalizable unicritical polynomials via a transfinite induction scheme on the moduli of renormalization towers, proving the triviality of fibers in the Yoccoz puzzle construction.

Fields of Study & Subjects

Mathematical Dynamics and Fractals Markov Chains and Monte Carlo Methods Cellular Automata and Applications

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 January 2026