Generating Galton-Watson trees using random walks and percolation for the Gaussian free field

Random fields (60G60) Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Cites Work

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Coupling and an application to level-set percolation of the Gaussian free field
The effect of small quenched noise on connectivity properties of random interlacements
Topics in occupation times and Gaussian free fields
Random walks on Galton-Watson trees with random conductances
An isomorphism theorem for random interlacements
Random interlacements on Galton-Watson trees
On the transience of random interlacements
From loop clusters and random interlacements to the free field
Random walks and percolation on trees
Level-set percolation of the Gaussian free field on regular graphs. I. Regular trees
Disconnection and level-set percolation for the Gaussian free field
Vacant set of random interlacements and percolation
Interlacement percolation on transient weighted graphs
Positively correlated normal variables are associated
Level-set percolation for the Gaussian free field on a transient tree
The sign clusters of the massless Gaussian free field percolate on \(\mathbb{Z}^{d}\), \(d \geqslant 3\) (and more)
A Ray-Knight theorem for symmetric Markov processes.
Percolation in strongly correlated systems: The massless Gaussian field
Phase transition and level-set percolation for the Gaussian free field
Level-set percolation of the Gaussian free field on regular graphs II: finite expanders
Disconnection and entropic repulsion for the harmonic crystal with random conductances
On the radius of Gaussian free field excursion clusters
Cluster capacity functionals and isomorphism theorems for Gaussian free fields
On the transience of processes defined on Galton-Watson trees
Probability on trees and networks
An Introduction to Random Interlacements
Equality of critical parameters for percolation of Gaussian free field level sets
Giant component for the supercritical level‐set percolation of the Gaussian free field on regular expander graphs
Anatomy of a Gaussian giant: supercritical level-sets of the free field on regular graphs

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