First-passage percolation on random simple triangulations

preprint2022arXivOpen access

We study first-passage percolation on random simple triangulations and their dual maps with independent identically distributed link weights. Our main result shows that the first-passage percolation distance concentrates in an $o_p(n^{1/4})$ window around a constant multiple of the graph distance.

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First-passage percolation on random simple triangulations

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