1 citations · 1 across the 1 of their papers we have counts for
3 papers
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…
math-ph2024
On Long Range Ising Models with Random Boundary Conditions
Eric O. Endo, Aernout C. D. van Enter, Arnaud Le Ny
We consider polynomial long-range Ising models in one dimension, with ferromagnetic pair interactions decaying with power (for ), and prepared with randomly ch…