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arXiv · 2411.00753

Percolating sets and the operad of permutations

Denis Bashkirov
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Abstract

We give an operadic interpretation of the known result of L.Shapiro and A.B.Stephens that characterizes percolating permutation matrices. A relation of ideals and suboperads of the non-symmetric operad of permutations to percolative properties of sets in the 2-neighbor percolation process is discussed. On a related note, we discuss a certain presentation of the operad of permutations.

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Denis Bashkirov. 2024-12-30. Percolating sets and the operad of permutations. https://arxiv.org/abs/2411.00753

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