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• W2891335232 abstract "In this article we aim at defining the discrete Gaussian free field (DGFF) on a compact manifold. Since there is no canonical grid approximation of a manifold, we construct a random graph that suitably replaces the square lattice $mathbb{Z}^d$ in Euclidean space, and prove that the scaling limit of the DGFF is given by the manifold continuum Gaussian free field (GFF). Furthermore using Voronoi tessellations we can interpret the DGFF as element of a Sobolev space and show convergence to the GFF in law with respect to the strong Sobolev topology." @default.
• W2891335232 created "2018-09-27" @default.
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• W2891335232 date "2018-09-10" @default.
• W2891335232 modified "2023-09-27" @default.
• W2891335232 title "The discrete Gaussian free field on a compact manifold" @default.
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