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On the rate of convergence in quenched Voronoi percolation

On the rate of convergence in quenched Voronoi percolation

Position n points uniformly at random in the unit square S, and consider the Voronoi tessellation of S corresponding to the set η of points. Toss a fair coin for each cell in the tessellation to determine whether to colour the cell red or blue. Let HS denote the event …