Generalizations of Douady’s magic formula

DOI10.1017/etds.2021.67OpenAlexW3185246015WikidataQ114118730 ScholiaQ114118730MaRDI QIDQ5095129

Giulio Tiozzo, Adam Lawrence Epstein

Publication date: 5 August 2022

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.03796

zbMATH Keywords

Mandelbrot setexternal rayshyperbolic componentsmain cardioid

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46)

Cites Work

• Unnamed Item
• Automaticity. IV: Sequences, sets, and diversity
• External arguments and invariant measures for the quadratic family
• A generalization of Douady's formula
• Ordered orbits of the shift, square roots, and the devil's staircase
• External rays and the real slice of the Mandelbrot set

This page was built for publication: Generalizations of Douady’s magic formula