Homogenization of random quasiconformal mappings and random delauney triangulations
In this paper, we solve two problems dealing with the homogenization of random media. We show that a random quasiconformal mapping is close to an affine mapping, while a circle packing of a random Delauney triangulation is close to a conformal map, confirming a conjecture of K. Stephenson. We also s...
| Autores principales: | , |
|---|---|
| Formato: | Journal article |
| Lenguaje: | English |
| Publicado: |
International Press
2023
|
| Sumario: | In this paper, we solve two problems dealing with the homogenization of random media. We show that a random quasiconformal mapping is close to an affine mapping, while a circle packing of a random Delauney triangulation is close to a conformal map, confirming a conjecture of K. Stephenson. We also show that on a Riemann surface equipped with a conformal metric, a random Delauney triangulation is close to being circle packed. |
|---|