Harmonic mappings of the Sierpinski gasket to the circle

Strichartz, Robert

doi:10.1090/S0002-9939-01-06243-8

Harmonic mappings of the Sierpinski gasket to the circle
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by Robert S. Strichartz PDF

Proc. Amer. Math. Soc. 130 (2002), 805-817 Request permission

Abstract:

Harmonic mappings from the Sierpinski gasket to the circle are described explicitly in terms of boundary values and topological data. In particular, all such mappings minimize energy within a given homotopy class. Explicit formulas are also given for the energy of the mapping and its normal derivatives at boundary points.

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