Geodesic
Small trees in supercritical random forests
Canadian mathematical bulletin, Tome 64 (2021) no. 3, pp. 605-623

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DOI

We study the scaling limit of a 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 a plane forest to a marked cyclic forest and its corresponding skip-free walk.
DOI : 10.4153/S0008439520000685
Mots-clés : Random forests, continuum random trees, degree sequence, GHP convergence 
Lei, Tao. Small trees in supercritical random forests. Canadian mathematical bulletin, Tome 64 (2021) no. 3, pp. 605-623. doi: 10.4153/S0008439520000685
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     title = {Small trees in supercritical random forests},
     journal = {Canadian mathematical bulletin},
     pages = {605--623},
     year = {2021},
     volume = {64},
     number = {3},
     doi = {10.4153/S0008439520000685},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000685/}
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