Homogenization of random quasiconformal mappings and random Delauney triangulations
Complex Variables
2019-05-21 v1 Probability
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 Stephenson. We also show that on a Riemann surface equipped with a conformal metric, a random Delauney triangulation is close to being circle packed.
Keywords
Cite
@article{arxiv.1905.07932,
title = {Homogenization of random quasiconformal mappings and random Delauney triangulations},
author = {Oleg Ivrii and Vladimir Markovic},
journal= {arXiv preprint arXiv:1905.07932},
year = {2019}
}
Comments
30 pages