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In that paper they show that almost surely, every site changes its color infinitely often if $\\kappa\\in \\{3,4\\}$ and only finitely many times if $\\kappa\\ge 5$. In addition, they conjecture that for $\\kappa\\in \\{3,4\\}$ the system clusters, that is, for any pair of sites $x,y$, with probability tending to 1 as $t\\to\\infty$, $x$ and $y$ have the same color at time $t$. 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