|
|||||
|
|
Harmonic mappings of the Sierpinski gasket to the circle |
|
| Authors: | Robert S. Strichartz |
| Affiliation: | Department of Mathematics, Malott Hall, Cornell University, Ithaca, New York 14853 |
| 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. |
| Keywords: | Sierpinski gasket harmonic mappings analysis on fractals self--similar Dirichlet form |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |