413 citations · 805 across the 36 of their papers we have counts for
40 papers
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 chos…
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…
Decimations for One- and Two-dimensional Ising and Rotator Models II: Continuous versus Discrete Symmetries
Matteo D'Achille, Arnaud Le Ny, Aernout C. D. van Enter
We show how decimated Gibbs measures which have an unbroken continuous symmetry due to the Mermin-Wagner theorem, although their discrete equivalents have a phase transition, still…
Decimations for Two-dimensional Ising and Rotator Models I
Matteo D'Achille, Aernout C. D. van Enter, Arnaud Le Ny
We extend proofs of non-Gibbsianness of decimated Gibbs measures at low temperatures to include long-range, as well as vector-spin interactions. Our main tools consist in a two-dim…
The Schonmann projection as a g-measure-, how Gibbsian is it?
Aernout van Enter, Senya Shlosman
We study the one-dimensional projection of the extremal Gibbs measures of the two-dimensional Ising model, the "Schonmann projection". These measures are known to be non-Gibbsian a…
Sturmian ground states in classical lattice-gas models
Aernout van Enter, Henna Koivusalo, Jacek Miekisz
We construct for the first time examples of non-frustrated, two-body, infinite-range, one-dimensional classical lattice-gas models without periodic ground-state configurations. Gro…