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- W4319983816 abstract "We characterize the behavior of a random discrete interface ϕ on [−L,L]d∩Zd with energy ∑V(Δϕ(x)) as L→∞, where Δ is the discrete Laplacian and V is a uniformly convex, symmetric, and smooth potential. The interface ϕ is called the non-Gaussian membrane model. By analyzing the Helffer–Sjöstrand representation, associated to Δϕ, we provide a unified approach to continuous scaling limits of the rescaled and interpolated interface in dimensions d=2,3, Gaussian approximation in negative regularity spaces for all d≥2, and the infinite volume limit in d≥5." @default.
- W4319983816 created "2023-02-11" @default.
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- W4319983816 date "2023-03-01" @default.
- W4319983816 modified "2023-09-29" @default.
- W4319983816 title "Thermodynamic and scaling limits of the non-Gaussian membrane model" @default.
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- W4319983816 doi "https://doi.org/10.1214/22-aop1609" @default.
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