Small trees in supercritical random forests
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Published:2020-09-29
Issue:3
Volume:64
Page:605-623
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. Math. Bull.
Abstract
AbstractWe 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.
Publisher
Canadian Mathematical Society
Subject
General Mathematics