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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.

MSC:

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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