Empilements de cercles et modules combinatoires
[Circle packings and combinatorial moduli]
Annales de l'Institut Fourier, Volume 59 (2009) no. 6, pp. 2175-2222.

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.

DOI: 10.5802/aif.2488
Classification: 52C26,  30C62,  30F10,  30F40
Keywords: Circle packings, quasiconformal, modulus of curves
HaÏssinsky, Peter 1

1 Université de Provence LATP/CMI 39, rue Frédéric Joliot-Curie 13453 Marseille Cedex 13 (France)
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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. http://www.numdam.org/articles/10.5802/aif.2488/

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