Cluster capacity functionals and isomorphism theorems for Gaussian free fields

DOI10.1007/s00440-021-01090-0zbMath1503.60145arXiv2101.05800OpenAlexW3119604997WikidataQ113905086 ScholiaQ113905086MaRDI QIDQ2140001

Alexis Prévost, Alexander Drewitz, Pierre-François Rodríguez

Publication date: 20 May 2022

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

Full work available at URL: https://arxiv.org/abs/2101.05800

zbMATH Keywords

metric graphsGaussian free fieldscluster capacity functionals

Mathematics Subject Classification ID

Gaussian processes (60G15) Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Probabilistic potential theory (60J45) Percolation (82B43)

Related Items (4)

Universality: random matrices, random geometry and SPDEs. Abstracts from the workshop held May 29 -- June 4, 2022 ⋮ Percolation for the Gaussian free field on the cable system: counterexamples ⋮ Critical exponents for a percolation model on transient graphs ⋮ On the radius of Gaussian free field excursion clusters

Cites Work

• Unnamed Item
• Unnamed Item
• Coupling and an application to level-set percolation of the Gaussian free field
• Topics in occupation times and Gaussian free fields
• An isomorphism theorem for random interlacements
• Markov paths, loops and fields. École d'Été de Probabilités de Saint-Flour XXXVIII -- 2008
• Dirichlet forms and symmetric Markov processes.
• From loop clusters and random interlacements to the free field
• Markovian loop soups: permanental processes and isomorphism theorems
• Percolation for level-sets of Gaussian free fields on metric graphs
• Markov loops, free field and Eulerian networks
• Vacant set of random interlacements and percolation
• Interlacement percolation on transient weighted graphs
• Level-set percolation for the Gaussian free field on a transient tree
• 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)
• Harmonic Dirichlet functions on planar graphs
• A Ray-Knight theorem for symmetric Markov processes.
• Percolation in strongly correlated systems: The massless Gaussian field
• On clusters of Brownian loops in \(d\) dimensions
• Finitary random interlacements and the Gaboriau-Lyons problem
• Inverting the coupling of the signed Gaussian free field with a loop-soup
• Sch'nol's theorem for strongly local forms
• Random Walks and Heat Kernels on Graphs
• Volume growth and stochastic completeness of graphs
• An Introduction to Random Interlacements

This page was built for publication: Cluster capacity functionals and isomorphism theorems for Gaussian free fields