Conférence
Notice
Langue :
Anglais
Crédits
Fanny Bastien (Réalisation), Sa'Ar Hersonsky (Intervention)
Conditions d'utilisation
CC BY-NC-ND 4.0
DOI : 10.60527/qx5d-5x27
Citer cette ressource :
Sa'Ar Hersonsky. I_Fourier. (2016, 27 juin). Electrical Networks and Stephenson's Conjecture , in 2016. [Vidéo]. Canal-U. https://doi.org/10.60527/qx5d-5x27. (Consultée le 19 mars 2024)

Electrical Networks and Stephenson's Conjecture

Réalisation : 27 juin 2016 - Mise en ligne : 15 septembre 2016
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Descriptif

The Riemann Mapping Theorem asserts that any simply connected planar domain which is not the whole of it, can be mapped by a conformal homeomorphism onto the open unit disk. After normalization, this map is unique and is called the Riemann mapping. In the 90's, Ken Stephenson, motivated by a circle packing approximation scheme suggested by Thurston (and first proved to converge by Rodin-Sullivan), predicted that the Riemann Mapping may be approximated by a different scheme, i.e., by a sequence of finite networks endowed with particular choices of conductance constants. These networks are naturally defined in terms of the contact graph of any circle packing.

We will affirm Stephenson's Conjecture in a greater generality.

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