Percolation of strongly correlated Gaussian fields, I: Decay of subcritical connection probabilities

Muirhead, Stephen; Severo, Franco

doi:10.2140/pmp.2024.5.357

Prob. Math. Phys.

2024

DOI: 10.2140/pmp.2024.5.357

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Percolation of strongly correlated Gaussian fields, I: Decay of subcritical connection probabilities

Stephen Muirhead,

Franco Severo

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2024

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Level-set percolation of Gaussian random fields on complex networks

Kühn

2024

Phys. Rev. E

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We provide an explicit solution of the problem of level-set percolation for multivariate Gaussians defined in terms of weighted graph Laplacians on complex networks. The solution requires an analysis of the heterogeneous microstructure of the percolation problem, i.e., a self-consistent determination of locally varying percolation probabilities. This is achieved using a cavity or message passing approach. It can be evaluated, both for single large instances of locally treelike graphs, and in the thermodynamic limit of random graphs of finite mean degree in the configuration model class. Published by the American Physical Society 2024

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Level-set percolation of Gaussian random fields on complex networks

Kühn

2024

Phys. Rev. E

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Percolation of strongly correlated Gaussian fields, I: Decay of subcritical connection probabilities

Cited by 1 publication

References 42 publications

Level-set percolation of Gaussian random fields on complex networks

Level-set percolation of Gaussian random fields on complex networks

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