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arXiv · 1905.07932

Homogenization of random quasiconformal mappings and random Delauney triangulations

Oleg Ivrii·Vladimir Markovic
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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.

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Oleg Ivrii, Vladimir Markovic. 2019-05-20. Homogenization of random quasiconformal mappings and random Delauney triangulations. https://arxiv.org/abs/1905.07932

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