Christophe Garban

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20232026

most citedVillain action in lattice gauge theory

1 citations · 1 across the 3 of their papers we have counts for

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math.PR2023

Invisibility of the integers for the discrete Gaussian chain via a Caffarelli-Silvestre extension of the discrete fractional Laplacian

Christophe Garban

The Discrete Gaussian Chain is a model of interfaces $Ψ : Z \to Z$ governed by the Hamiltonian $H (Ψ) = i \neq = j \sum J_{α} (∣ i - j ∣) ∣ Ψ_{i} - Ψ_{j} ∣^{2}$ with long-range c…

math.PR2023

Phase transitions for the $X Y$ model in non-uniformly elliptic and Poisson-Voronoi environments

Paul Dario, Christophe Garban

The goal of this paper is to analyze how the celebrated phase transitions of the $X Y$ model are affected by the presence of a non-elliptic quenched disorder. In dimension $d = 2$ , we…

Invisibility of the integers for the discrete Gaussian chain via a Caffarelli-Silvestre extension of the discrete fractional Laplacian

Phase transitions for the XY model in non-uniformly elliptic and Poisson-Voronoi environments

Phase transitions for the $X Y$ model in non-uniformly elliptic and Poisson-Voronoi environments