Small trees in supercritical random forests
Probability
2023-06-22 v1
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.
Keywords
Cite
@article{arxiv.1710.02744,
title = {Small trees in supercritical random forests},
author = {Tao Lei},
journal= {arXiv preprint arXiv:1710.02744},
year = {2023}
}
Comments
16 pages, 3 figures