Harmonic mappings of the Sierpinski gasket to the circle (Q2759031)
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scientific article; zbMATH DE number 1680690
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Harmonic mappings of the Sierpinski gasket to the circle |
scientific article; zbMATH DE number 1680690 |
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Harmonic mappings of the Sierpinski gasket to the circle (English)
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10 December 2001
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Sierpiński gasket
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harmonic mapping
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analysis on fractals
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self-similar Dirichlet form
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Harmonic mappings from the Sierpiński 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 the boundary points.
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