Aernout C. D. van Enter

activity

20132020

most citedAbsence of Dobrushin states for

2 d

long-range Ising models

11 citations · 15 across the 3 of their papers we have counts for

collaborators

3 papers

math-ph2020★ 4 cited

Typical ground states for large sets of interactions

Aernout van Enter, Jacek Miekisz

We discuss what ground states for generic interactions look like. We note that a recent result, due to Morris, implies that the behaviour of ground-state measures for generic inter…

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…

math-ph2013

Aperiodicity in equilibrium systems: Between order and disorder

Aernout C. D. van Enter

Spatial aperiodicity occurs in various models and material s. Although today the most well-known examples occur in the area of quasicrystals, other applications might also be of in…

Typical ground states for large sets of interactions

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

Aperiodicity in equilibrium systems: Between order and disorder

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