Small trees in supercritical random forests
arXiv:1710.02744 · doi:10.4153/S0008439520000685
Abstract
We study the scaling limit of random forest with prescribed degree sequence in the regime that the largest tree consists of all but a vanishing fraction of nodes. We give a description of the limit of the forest consisting of the small trees, by relating plane forest to marked cyclic forest and its corresponding lattice path.
16 pages, 3 figures