A. Le Ny

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20112022

most citedGradient Gibbs measures for the SOS model with countable values on a Cayley tree

30 citations · 76 across the 10 of their papers we have counts for

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math.PR2022★ 20 cited

Extremal inhomogeneous Gibbs states for SOS-models and finite-spin models on trees

Loren Coquille, Christof Kuelske, Arnaud Le Ny

We consider $Z$ -valued $p$ -SOS-models with nearest neighbor interactions of the form $∣ ω_{v} - ω_{w} ∣^{p}$ , and finite-spin ferromagnetic models on regular trees. This includes the…

math-ph2022

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…