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math.PR2026★ 1 cited
Quantitative delocalisation for the Gaussian and -SOS long-range chains
Loren Coquille, Paul Dario, Arnaud Le Ny
The goal of this article is to study quantitatively the localisation/delocalisation properties of the discrete Gaussian chain with long-range interactions. Specifically, we conside…
math.PR2025
Extremal Ising Gibbs States on Lobachevsky lattices
Matteo D'Achille, Loren Coquille, Arnaud Le Ny
We exhibit an uncountable family of extremal inhomogeneous Gibbs measures of the low temperature Ising model on regular tilings of the hyperbolic plane. These states arise as low t…