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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Harmonic measure and radial projection


Authors: Donald E. Marshall and Carl Sundberg
Journal: Trans. Amer. Math. Soc. 316 (1989), 81-95
MSC: Primary 30C75; Secondary 30C80, 30C85
MathSciNet review: 948195
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1989-0948195-5
PII: S 0002-9947(1989)0948195-5
Keywords: Harmonic measure, extremal length
Article copyright: © Copyright 1989 American Mathematical Society