Equality of critical parameters for percolation of Gaussian free field level-sets

18 Feb 2020 Duminil-Copin Hugo Goswami Subhajit Rodriguez Pierre-François Severo Franco

We consider level-sets of the Gaussian free field on $\mathbb Z^d$, for $d\geq 3$, above a given real-valued height parameter $h$. As $h$ varies, this defines a canonical percolation model with strong, algebraically decaying correlations... (read more)

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  • PROBABILITY
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS