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arXiv · 2108.04287

Forests on wired regular trees

Gourab Ray·Ben Xiao
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Abstract

The Arboreal gas model on a finite graph $G$ is the Bernoulli bond percolation on $G$ conditioned on the event that the sampled subgraph is a forest. In this short note we study the arboreal gas on a regular tree wired at the leaves and obtain a comprehensive description of the weak limit of this model.

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Gourab Ray, Ben Xiao. 2021-08-09. Forests on wired regular trees. https://arxiv.org/abs/2108.04287

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