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math.PR2024★ 1 cited
Bond percolation does not simulate site percolation
Nikita Gladkov, Aleksandr Zimin
We show that a site percolation is a stronger model than a bond percolation. We use the van den Berg -- Kesten (vdBK) inequality to prove that site percolation on a neighborhood of…
math.PR2023
Positive dependence for colored percolation
Nikita Gladkov, Igor Pak
For uniform random 4-colorings of graph edges with colors a,b,c,d, every two colors form a 1/2-percolation, and every two overlapping pairs of colors form independent 1/2-percolati…