Uniqueness of the infinite tree in low-dimensional random forests

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

Wired cycle-breaking dynamics for uniform spanning forests
Local characteristics, entropy and limit theorems for spanning trees and domino tilings via transfer-impedances
Collisions of random walks in reversible random graphs
Density and uniqueness in percolation
Choosing a spanning tree for the integer lattice uniformly
Markov chains, Riesz transforms and Lipschitz maps
Isoperimetric inequalities and transient random walks on graphs
Indistinguishability of the components of random spanning forests
Uniform spanning forests
Induced graphs of uniform spanning forests
Collisions of random walks in dynamic random environments
The wired arboreal gas on regular trees
Fully-connected bond percolation on \(\mathbb{Z}^d\)
Indistinguishability of collections of trees in the uniform spanning forest
Anomalous diffusion of random walk on random planar maps
Hyperbolic and parabolic unimodular random maps
Diffusive estimates for random walks on stationary random graphs of polynomial growth
Processes on unimodular random networks
Uniqueness of maximal entropy measure on essential spanning forests
Spanning forests and the \(q\)-state Potts model in the limit \(q \to 0\)
Random spanning forests and hyperbolic symmetry
Towards a theory of negative dependence
Probability on Trees and Networks
Spanning forests andOSP(N|2M) -invariantσ-models
Some intersection properties of random walk paths
Introduction to (generalized) Gibbs measures
Components of Random Forests
Critical random forests
Negative association in uniform forests and connected graphs
Forests on wired regular trees
Grassmann integral representation for spanning hyperforests
The Random-Cluster Model
Asymptotic Enumeration of Spanning Trees
Convexity
Percolation transition for random forests in \(d \geqslant 3\)

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