Harmonic measure

Harmonic measure

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Phil Sosoe, Princeton University
Fine Hall 314

Harmonic measure is a measure on the boundary of domains in the complex plane whose associated integral generates the solution of the Dirichlet problem. I will explain Nevanlinna's "principle of harmonic measure," and give a number of examples of its use. Time allowing, I will discuss recent geometric results about harmonic measure, and its relation to other conformal invariants such as Beurling's extremal length. The talk will be completely elementary!