English

Forests on wired regular trees

Probability 2021-08-11 v1 Mathematical Physics math.MP

Abstract

The Arboreal gas model on a finite graph GG is the Bernoulli bond percolation on GG 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.

Keywords

Cite

@article{arxiv.2108.04287,
  title  = {Forests on wired regular trees},
  author = {Gourab Ray and Ben Xiao},
  journal= {arXiv preprint arXiv:2108.04287},
  year   = {2021}
}

Comments

9 pages

R2 v1 2026-06-24T04:57:57.618Z