[Circle packings and combinatorial moduli]
The aim of this article is to explain the deep relationships between circle-packings and combinatorial moduli of curves, and to compare the approaches to Cannon’s conjecture to which they lead.
Le but de cette note est de tenter d’expliquer les liens étroits qui unissent la théorie des empilements de cercles et des modules combinatoires et de comparer les approches à la conjecture de J.W. Cannon qui en découlent.
Keywords: Circle packings, quasiconformal, modulus of curves
@article{AIF_2009__59_6_2175_0,
author = {Ha\"Issinsky, Peter},
title = {Empilements de cercles et modules combinatoires},
journal = {Annales de l'Institut Fourier},
pages = {2175--2222},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {59},
number = {6},
year = {2009},
doi = {10.5802/aif.2488},
mrnumber = {2640918},
zbl = {1189.30080},
language = {fr},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.2488/}
}
TY - JOUR AU - HaÏssinsky, Peter TI - Empilements de cercles et modules combinatoires JO - Annales de l'Institut Fourier PY - 2009 SP - 2175 EP - 2222 VL - 59 IS - 6 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.2488/ UR - https://www.ams.org/mathscinet-getitem?mr=2640918 UR - https://zbmath.org/?q=an%3A1189.30080 UR - https://doi.org/10.5802/aif.2488 DO - 10.5802/aif.2488 LA - fr ID - AIF_2009__59_6_2175_0 ER -
HaÏssinsky, Peter. Empilements de cercles et modules combinatoires. Annales de l'Institut Fourier, Volume 59 (2009) no. 6, pp. 2175-2222. doi : 10.5802/aif.2488. https://aif.centre-mersenne.org/articles/10.5802/aif.2488/
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