English

Thuston's Teapots and Graph Directed Systems

Dynamical Systems 2026-02-17 v2

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.

Cite

@article{arxiv.2602.02278,
  title  = {Thuston's Teapots and Graph Directed Systems},
  author = {Chenxi Wu},
  journal= {arXiv preprint arXiv:2602.02278},
  year   = {2026}
}

Comments

6 pages, 1 figure, to appear in AMS Contemporary Mathematics Proceedings

R2 v1 2026-07-01T09:32:13.337Z