On coupling and ``Vacant set level set percolation
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Publication:2631815
DOI10.1214/19-ECP217zbMath1412.60135arXiv1807.10719OpenAlexW2884087685MaRDI QIDQ2631815
Publication date: 16 May 2019
Published in: Electronic Communications in Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.10719
Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Percolation (82B43)
Related Items (2)
Level-set percolation of the Gaussian free field on regular graphs II: finite expanders ⋮ Level-set percolation of the Gaussian free field on regular graphs. I. Regular trees
Cites Work
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- Coupling and an application to level-set percolation of the Gaussian free field
- An isomorphism theorem for random interlacements
- From loop clusters and random interlacements to the free field
- Inverting Ray-Knight identity
- 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)
- Exponential concentration of cover times
- Inverting the coupling of the signed Gaussian free field with a loop-soup
- Volume growth and stochastic completeness of graphs
- An Introduction to Random Interlacements
- Markov Processes, Gaussian Processes, and Local Times
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