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.

中文翻译：

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超临界随机森林中的小树

我们研究了在最大树由除消失部分节点之外的所有节点组成的情况下，具有指定度数序列的随机森林的缩放限制。我们通过将平面森林与标记的循环森林及其相应的无跳跃行走联系起来，描述了由小树组成的森林的极限。