Thuston's Teapots and Graph Directed Systems
Abstract
Thurston's Master Teapot is a geometric object that encodes the entropies of critically periodic unimodal maps. We establish the connection between this object and the "Mandelbrot set" of graph directed iterated function systems previously studied by Solomyak.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
advanced mathematical theories
Stochastic processes and statistical mechanics
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 2 February 2026
- Document type
- Preprint