%0 Journal Article
%T A Toom rule that increases the thickness of sets
%A Peter Gacs
%J Physics
%D 2001
%I arXiv
%R 10.1007/BF01015567
%X Toom's north-east-self voting cellular automaton rule R is known to suppress small minorities. A variant which we call R^+ is also known to turn an arbitrary initial configuration into a homogenous one (without changing the ones that were homogenous to start with). Here we show that R^+ always increases a certain property of sets called thickness. This result is intended as a step towards a proof of the fast convergence towards consensus under R^+. The latter is observable experimentally, even in the presence of some noise.
%U http://arxiv.org/abs/math-ph/0102009v1