Percolation transition for random forests in d≥3
(2024)
Journal Article
Bauerschmidt, R., Crawford, N., & Helmuth, T. (in press). Percolation transition for random forests in d≥3. Inventiones Mathematicae,
The arboreal gas is the probability measure on (unrooted spanning) forests of a graph in which each forest is weighted by a factor β>0 per edge. It arises as the q→0 limit of the q-state random cluster model with p=βq. We prove that in dimensions d≥3... Read More about Percolation transition for random forests in d≥3.