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

collaborators

3 papers

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 $2 - α$ (for $0 \leq α < 1$ ), and prepared with randomly chos…

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…

On Long Range Ising Models with Random Boundary Conditions

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