Harmonic measure and radial projection

Marshall, Donald E.; Sundberg, Carl

doi:10.1090/S0002-9947-1989-0948195-5

Harmonic measure and radial projection
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by Donald E. Marshall and Carl Sundberg PDF

Trans. Amer. Math. Soc. 316 (1989), 81-95 Request permission

Abstract:

Among all curves in the closed unit disk that meet every radius, there is one, ${\gamma _0}$, whose harmonic measure at the origin is minimal. We give an explicit description of ${\gamma _0}$ and compute its harmonic measure. We also give a quadratically convergent algorithm to compute the harmonic measure of one side of a rectangle at its center.

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