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The visual sphere of an expanding Thurston map

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.

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Citation data

  • DOI 10.24350/CIRM.V.19810903
  • Cite this video Bonk, Mario (23/09/2021). The visual sphere of an expanding Thurston map. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19810903
  • URL https://dx.doi.org/10.24350/CIRM.V.19810903

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