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math.PR2024★ 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.PR2024
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…