The Gaussian free field is a centered Gaussian random field whose covariance is the Green kernel of a Laplace operator. It has discrete versions on graphs and continuum versions as a random generalized function on a domain.
The Gaussian free field (GFF) is a mathematical object commonly studied in the fields of probability theory, statistical mechanics, and quantum field theory. It serves as a foundational model for understanding various phenomena in physics and mathematics due to its intrinsic properties and connections to Gaussian processes.
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