Percolating sets and the operad of permutations
Combinatorics
2024-12-31 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2411.00753,
title = {Percolating sets and the operad of permutations},
author = {Denis Bashkirov},
journal= {arXiv preprint arXiv:2411.00753},
year = {2024}
}