TY - JOUR
T1 - HOMOGENIZATION OF RANDOM QUASICONFORMAL MAPPINGS AND RANDOM DELAUNEY TRIANGULATIONS
AU - Ivrii, Oleg
AU - Marković, Vladimir
N1 - Publisher Copyright:
© 2023 International Press of Boston, Inc.. All rights reserved.
PY - 2023/7
Y1 - 2023/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85165946063&partnerID=8YFLogxK
U2 - 10.4310/jdg/1689262063
DO - 10.4310/jdg/1689262063
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AN - SCOPUS:85165946063
SN - 0022-040X
VL - 124
SP - 523
EP - 551
JO - Journal of Differential Geometry
JF - Journal of Differential Geometry
IS - 3
ER -