most citedCritical and near-critical level-set percolation of the Gaussian free field on regular trees

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math.PR2025

Scaling limits for the critical level-set percolation of the Gaussian free field on regular trees

Jiří Černý, Ramon Locher

We continue the study of the level-set percolation of the discrete Gaussian free field (GFF) on regular trees in the critical regime, initiated in arXiv:2302.02753. First, we deriv…

math.PR2023★ 1 cited

Critical and near-critical level-set percolation of the Gaussian free field on regular trees

Jiří Černý, Ramon Locher

For the Gaussian free field on a -regular tree with , we study the percolative properties of its level sets in the critical and the near-critical regime. In part…