%0 Journal Article
%T Electrical networks and Stephenson's conjecture
%A Sa'ar Hersonsky
%J Mathematics
%D 2015
%I arXiv
%X In this paper, we consider a planar annulus, i.e., a bounded, two-connected, Jordan domain, endowed with a sequence of triangulations exhausting it. We then construct a corresponding sequence of maps which converge uniformly on compact subsets of the domain, to a conformal homeomorphism onto the interior of a Euclidean annulus bounded by two concentric circles. As an application, we will affirm a conjecture raised by Ken Stephenson in the 90's which predicts that the Riemann mapping can be approximated by a sequence of electrical networks.
%U http://arxiv.org/abs/1506.07549v1