For each fixed edge-change weight x∈[1/√2,1], zero-boundary integer Lipschitz heights on triangular-lattice inside approximations of a bounded C² Jordan domain converge, after division by a positive x-dependent constant, to the zero-Dirichlet Gaussian free field as a random distribution.
For each fixed edge-change weight x∈[1/√2,1], zero-boundary integer Lipschitz heights on triangular-lattice inside approximations of a bounded C² Jordan domain converge, after division by a positive x-dependent constant, to the zero-Dirichlet Gaussian free field as a random distribution.
For each fixed edge-change weight x∈[1/√2,1], zero-boundary integer Lipschitz heights on triangular-lattice inside approximations of a bounded C² Jordan domain converge, after division by a positive x-dependent constant, to the zero-Dirichlet Gaussian free field as a random distribution.
If correct, establishes the GFF field limit across the stated weighted regime, including its predicted critical endpoint.
Do weighted triangular-lattice integer Lipschitz heights converge to a Gaussian free field?
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OpenAI reports Gaussian free-field limits for weighted Lipschitz heights
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