Percolation for the Gaussian free field on the cable system: counterexamples
From MaRDI portal
Publication:6165197
DOI10.1214/23-ejp949arXiv2102.07763WikidataQ124845380 ScholiaQ124845380MaRDI QIDQ6165197
Publication date: 4 July 2023
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.07763
Random fields (60G60) Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two-dimensional random interlacements and late points for random walks
- 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
- Dirichlet forms and symmetric Markov processes.
- From loop clusters and random interlacements to the free field
- Percolation for level-sets of Gaussian free fields on metric graphs
- Soft local times and decoupling of random interlacements
- 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 sign clusters of the massless Gaussian free field percolate on \(\mathbb{Z}^{d}\), \(d \geqslant 3\) (and more)
- On pinned fields, interlacements, and random walk on \(({\mathbb {Z}}/N {\mathbb {Z}})^2\)
- Percolation in strongly correlated systems: The massless Gaussian field
- Phase transition and level-set percolation for the Gaussian free field
- Finitary random interlacements and the Gaboriau-Lyons problem
- On scaling limits and Brownian interlacements
- Some rigorous results on the phase transition of finitary random interlacements
- Cluster capacity functionals and isomorphism theorems for Gaussian free fields
- The first passage sets of the 2D Gaussian free field: convergence and isomorphisms
- Inverting the coupling of the signed Gaussian free field with a loop-soup
- On decoupling inequalities and percolation of excursion sets of the Gaussian free field
- Existence of phase transition for percolation using the Gaussian free field
- Critical exponents for a percolation model on transient graphs
- Random Walk: A Modern Introduction
- Splitting times and shift functionals
- Coterminal Families and the Strong Markov Property
- Volume growth and stochastic completeness of graphs
- Markov Processes, Gaussian Processes, and Local Times
- Markov Processes, Brownian Motion, and Time Symmetry
This page was built for publication: Percolation for the Gaussian free field on the cable system: counterexamples