Snowflakes and trees

Snowflakes and trees

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Chris Bishop, Stonybrook University
Fine Hall 214

This is a short survey of various results involving (mostly planar) harmonic measure, ranging roughly from Makarov's theorems of the 1980's to the present, but focusing mostly on topics related to "balancing" harmonic measure on two sides of a common boundary. We touch on topics like Brownian motion, conformal maps, circle homeomorphisms, dessins d'enfants, true trees, transcendental dynamics, wandering domains and European history.