Cage de Faraday

Details Cage de Faraday Cage de Faraday

2003-06-26

arxiv.org/abs/math/0306375v2

Mathematics

Dynamical Systems

14 pages, in French. This update corrects a problem with the automatically generated PDF version

Scientific paper

We prove that the difference between 1 and the conformal radius at 0 of the universal covering of a big open subset U of the unit disk in the complex plane is comparable to the area of a union of triangles constucted from the complement of U. We apply this to corret a lemma in the thesis of the author. ----- Nous prouvons que la difference entre 1 et le rayon conforme en 0 du revetement universel d'un grand ouvert U du disque unite du plan complexe est comparable a l'aire d'une reunion de triangles construits a partir du complementaire de U. Nous appliquons cela a la correction d'un lemme de la these de l'auteur.

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