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Harmonic deformation of the Delaunay triangulation
Full text
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| Author(s): |
Rafael de Mattos Grisi
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) |
| Defense date: | 2009-08-28 |
| Examining board members: |
Pablo Augusto Ferrari;
Luiz Renato Goncalves Fontes;
Pablo José Groisman;
Roberto Imbuzeiro Moraes Felinto de Oliveira
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| Advisor: | Pablo Augusto Ferrari |
| Abstract | |
Given a d-dimensional Poisson point process, we construct harmonic functions on the associated Delaunay triangulation, with linear assymptotic behaviour, as the limit of a noiseless harness process. These mappings allow us to find a new embedding for the Delaunay triangulation. We call it harmonic deformation of the graph. (AU) | |