1 citations · 1 across the 1 of their papers we have counts for
3 papers
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…
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…
Absence of shift-invariant Gibbs states (delocalisation) for one-dimensional -valued fields with Long-Range interactions
Loren Coquille, Aernout C. D. van Enter, Arnaud Le Ny +1
We show that a modification of the proof of our paper [CvELNR18], in the spirit of [FP81], shows delocalisation in the long-range Discrete Gaussian Chain, and generalisations there…