Percolation for level-sets of Gaussian free fields on metric graphs

DOI10.1214/19-AOP1397zbMath1505.60087arXiv1807.11117MaRDI QIDQ784175

Mateo Wirth, Jian Ding

Publication date: 31 July 2020

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.11117

zbMATH Keywords

percolationphase transitionGaussian free fieldmetric graphchemical distance

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (8)

Cluster capacity functionals and isomorphism theorems for Gaussian free fields ⋮ Crossing estimates from metric graph and discrete GFF ⋮ Percolation for the Gaussian free field on the cable system: counterexamples ⋮ Critical exponents for a percolation model on transient graphs ⋮ Unnamed Item ⋮ Disconnection and entropic repulsion for the harmonic crystal with random conductances ⋮ The distance exponent for Liouville first passage percolation is positive ⋮ On the radius of Gaussian free field excursion clusters

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Coupling and an application to level-set percolation of the Gaussian free field
• From loop clusters and random interlacements to the free field
• Disconnection and level-set percolation for the Gaussian free field
• The incipient infinite cluster in two-dimensional percolation
• Chemical distances for percolation of planar Gaussian free fields and critical random walk loop soups
• The random pseudo-metric on a graph defined via the zero-set of the Gaussian free field on its metric graph
• The sign clusters of the massless Gaussian free field percolate on \(\mathbb{Z}^{d}\), \(d \geqslant 3\) (and more)
• A 0-1 law for the massive Gaussian free field
• Percolation in strongly correlated systems: The massless Gaussian field
• Phase transition and level-set percolation for the Gaussian free field
• First passage sets of the 2D continuum Gaussian free field
• The first passage sets of the 2D Gaussian free field: convergence and isomorphisms
• On macroscopic holes in some supercritical strongly dependent percolation models
• On decoupling inequalities and percolation of excursion sets of the Gaussian free field
• Level set percolation for random interlacements and the Gaussian free field
• High-dimensional asymptotics for percolation of Gaussian free field level sets
• Kesten's incipient infinite cluster and quasi-multiplicativity of crossing probabilities
• Random Walk: A Modern Introduction

This page was built for publication: Percolation for level-sets of Gaussian free fields on metric graphs