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Dimension of Expanding Maps

Adventurous Berkeley Complex Dynamics May 02, 2022 - May 06, 2022

May 03, 2022 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Volodymyr Nekrashevych (Texas A & M University)
Location: MSRI: Simons Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

Dimension Of Expanding Maps


Expanding covering maps (e.g., sub-hyperbolic rational functions restricted to their Julia sets) are encoded (uniquely determined up to topological conjugacy) by the associated iterated monodromy groups. We will discuss how dimension of the space can be deducted directly from the structure of the iterated monodromy groups, and how algebraic properties of the group are related to the dimension.

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Dimension Of Expanding Maps

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