published on January 20, 2026
From connecting the dots to conjugacy of dynamical systems
By Pierre Arnoux
By Mario Bonk
Appears in collection : Advancing Bridges in Complex Dynamics / Avancer les connections dans la dynamique complexe
Every expanding Thurston map gives rise to a fractal geometry on its underlying 2-sphere. Many dynamical properties of the map are encoded in this fractal, called the 'visual sphere' of the map. An interesting question is how to determine the (Ahlfors regular) conformal dimension of the visual sphere if the map is obstructed. In my talk I will give an introduction to this subject and discuss some recent progress.