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- W4384918606 abstract "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-percolations. We show joint positive dependence for pairs of colors ab, ac and ac, and joint negative dependence for pairs of colors ab, ac and bc. The proof is based on a generalization of the Harris--Kleitman inequalities. We apply the results to crossing probabilities for the colored bond and site percolation, and to colored critical percolation that we also define." @default.
- W4384918606 created "2023-07-21" @default.
- W4384918606 creator A5080560017 @default.
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- W4384918606 date "2023-07-18" @default.
- W4384918606 modified "2023-09-26" @default.
- W4384918606 title "Positive dependence for colored percolation" @default.
- W4384918606 doi "https://doi.org/10.48550/arxiv.2307.09606" @default.
- W4384918606 hasPublicationYear "2023" @default.
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