Gács, Peter2018-06-132018-06-131990-04-01P. Gacs. 1990. "A Toom rule that increases the thickness of sets." Journal of Statistical Physics, Volume 59, Issue 1-2, pp. 171 - 193 (23).0022-4715https://hdl.handle.net/2144/29380Toom's north-east-self voting cellular automaton ruleR is known to suppress small minorities. A variant,R+, is also known to turn an arbitrary initial configuration into a homogeneous one (without changing the ones that were homogeneous to start with). Here it is shown thatR+ always increases a certain property of sets called thickness. This result is intended as a step toward a proof of the fast convergence toward consensus underR+. The latter is observable experimentally, even in the presence of some noise.171 - 193 (23)Science & technologyPhysics, mathematicalPhysicsMathematical sciencesPhysical sciencesFluids & plasmasCellular automataToom's ruleStatistical mechanicsArticle10.1007/BF01015567