Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 523-551 |
| Number of pages | 29 |
| Journal | Journal of Differential Geometry |
| Volume | 124 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jul 2023 |
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Geometry and Topology
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