3 papers
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…
math.PR2024
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.PR2023
Continuity of the extremal decomposition of the free state for finite-spin models on Cayley trees
Loren Coquille, Christof Kuelske, Arnaud Le Ny
We prove the continuity of the extremal decomposition measure of the free state of low temperature Potts models, and more generally of ferromagnetic finite-spin models, on a regula…