20 citations · 23 across the 5 of their papers we have counts for
9 papers
Extremal inhomogeneous Gibbs states for SOS-models and finite-spin models on trees
Loren Coquille, Christof Kuelske, Arnaud Le Ny
We consider -valued -SOS-models with nearest neighbor interactions of the form , and finite-spin ferromagnetic models on regular trees. This includes the…
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…
Almost Gibbsian Measures on a Cayley Tree
Matteo D'Achille, Arnaud Le Ny
We consider the ferromagnetic n.n Ising model on Cayley trees in absence of external fields submitted to a modified majority rule transformation with overlapping cells already know…
Gradient Gibbs measures for the SOS model with countable values on a Cayley tree
F. Henning, C. Kuelske, A. Le Ny +1
We consider an SOS (solid-on-solid) model, with spin values from the set of all integers, on a Cayley tree of order k and are interested in translation-invariant gradient Gibbs mea…
Entropic repulsion and lack of the -measure property for Dyson models
Rodrigo Bissacot, Eric Ossami Endo, Aernout C. D. van Enter +1
We consider Dyson models, Ising models with slow polynomial decay, at low temperature and show that its Gibbs measures deep in the phase transition region are not -measures. The…