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arXiv · 1710.02744

Small trees in supercritical random forests

Tao Lei
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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.

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Tao Lei. 2017-10-07. Small trees in supercritical random forests. https://doi.org/10.4153/s0008439520000685

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