Coupling and an application to level-set percolation of the Gaussian free field
From MaRDI portal
Publication:287745
DOI10.1214/16-EJP4563zbMath1336.60194arXiv1509.02251OpenAlexW2963640025MaRDI QIDQ287745
Publication date: 23 May 2016
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.02251
Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27)
Related Items
Cluster capacity functionals and isomorphism theorems for Gaussian free fields ⋮ Level-set percolation for the Gaussian free field on a transient tree ⋮ On coupling and ``Vacant set level set percolation ⋮ The sign clusters of the massless Gaussian free field percolate on \(\mathbb{Z}^{d}\), \(d \geqslant 3\) (and more) ⋮ Covariant Symanzik identities ⋮ Giant component for the supercritical level‐set percolation of the Gaussian free field on regular expander graphs ⋮ Isomorphism theorems, extended Markov processes and random interlacements ⋮ Anatomy of a Gaussian giant: supercritical level-sets of the free field on regular graphs ⋮ Percolation for the Gaussian free field on the cable system: counterexamples ⋮ Markov properties for Gaussian fields associated with Dirichlet forms ⋮ Critical exponents for a percolation model on transient graphs ⋮ Level-set percolation of the Gaussian free field on regular graphs II: finite expanders ⋮ On macroscopic holes in some supercritical strongly dependent percolation models ⋮ Level-set percolation of the Gaussian free field on regular graphs. I. Regular trees ⋮ Percolation for level-sets of Gaussian free fields on metric graphs ⋮ Analyticity of Gaussian free field percolation observables