Arnaud Le Ny

most citedAbsence of Dobrushin states for

2 d

long-range Ising models

11 citations · 11 across the 3 of their papers we have counts for

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math.PR2024

Absence of shift-invariant Gibbs states (delocalisation) for one-dimensional $Z$ -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…

math.PR2018★ 11 cited

Absence of Dobrushin states for $2 d$ long-range Ising models

Loren Coquille, Aernout C. D. van Enter, Arnaud Le Ny +1

We consider the two-dimensional Ising model with long-range pair interactions of the form $J_{x y} \sim ∣ x - y ∣^{- α}$ with $α > 2$ , mostly when $J_{x y} \geq 0$ . We show that Dobrushin sta…

Absence of shift-invariant Gibbs states (delocalisation) for one-dimensional Z-valued fields with Long-Range interactions

Absence of Dobrushin states for 2d long-range Ising models

Absence of shift-invariant Gibbs states (delocalisation) for one-dimensional $Z$ -valued fields with Long-Range interactions

Absence of Dobrushin states for $2 d$ long-range Ising models