A geometric and stochastic proof of the twist point theorem. (English) Zbl 1291.30157

Summary: We will give a proof of the McMillan twist point theorem using geometry, potential theory and Ito’s formula but not the Riemann mapping theorem.


30C85 Capacity and harmonic measure in the complex plane
31A20 Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions
60J45 Probabilistic potential theory
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