A 0-1 law for the massive Gaussian free field

DOI10.1007/s00440-016-0743-zzbMath1386.60140arXiv1505.08169OpenAlexW2964138546MaRDI QIDQ1682494

Pierre-François Rodríguez

Publication date: 30 November 2017

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.08169

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Percolation (82B43) Critical phenomena in equilibrium statistical mechanics (82B27) Zero-one laws (60F20)

Related Items (8)

The critical threshold for Bargmann-Fock percolation ⋮ The sharp phase transition for level set percolation of smooth planar Gaussian fields ⋮ Quenched large deviations for simple random walks on percolation clusters including long-range correlations ⋮ Equality of critical parameters for percolation of Gaussian free field level sets ⋮ Upper bounds on the one-arm exponent for dependent percolation models ⋮ The phase transition for planar Gaussian percolation models without FKG ⋮ Continuity and uniqueness of percolation critical parameters in finitary random interlacements ⋮ Percolation for level-sets of Gaussian free fields on metric graphs

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