The random pseudo-metric on a graph defined via the zero-set of the Gaussian free field on its metric graph

DOI10.1007/s00440-017-0792-yzbMath1404.60073arXiv1607.06424OpenAlexW3098128495MaRDI QIDQ1656539

Titus Lupu, Wendelin Werner

Publication date: 10 August 2018

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

Full work available at URL: https://arxiv.org/abs/1607.06424

zbMATH Keywords

local timeGaussian free fieldmetric graphconformal loop ensemblerandom distances

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Local time and additive functionals (60J55) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (9)

Cluster capacity functionals and isomorphism theorems for Gaussian free fields ⋮ Chemical distances for percolation of planar Gaussian free fields and critical random walk loop soups ⋮ Crossing estimates from metric graph and discrete GFF ⋮ First passage sets of the 2D continuum Gaussian free field ⋮ The first passage sets of the 2D Gaussian free field: convergence and isomorphisms ⋮ Liouville first passage percolation: geodesic length exponent is strictly larger than 1 at high temperatures ⋮ Critical exponents for a percolation model on transient graphs ⋮ Return probability and recurrence for the random walk driven by two-dimensional Gaussian free field ⋮ Percolation for level-sets of Gaussian free fields on metric graphs

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