The tree of first-passage percolation geodesics on random Boltzmann planar maps converges after scaling to a countable metric space driven by a coalescing flow of jump diffusions.
Random planar maps and growth-fragmentations
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Scaling limit of first passage percolation geodesics on planar maps
The tree of first-passage percolation geodesics on random Boltzmann planar maps converges after scaling to a countable metric space driven by a coalescing flow of jump diffusions.