31 citations · 100 across the 9 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…
Existence of gradient Gibbs measures on regular trees which are not translation invariant
Florian Henning, Christof Kuelske
We provide an existence theory for gradient Gibbs measures for Z-valued spin models on regular trees which are not invariant under translations of the tree, assuming only summabili…
Coexistence of localized Gibbs measures and delocalized gradient Gibbs measures on trees
Florian Henning, Christof Kuelske
We study gradient models for spins taking values in the integers (or an integer lattice), which interact via a general potential depending only on the differences of the spin value…
Gibbs-non-Gibbs transition in the fuzzy Potts models with a Kac-type interaction: Closing the Ising gap
Florian Henning, Richard C. Kraaij, Christof Kuelske
We complete the investigation of the Gibbs properties of the fuzzy Potts model on the d-dimensional torus with Kac interaction which was started by Jahnel and one of the authors. A…
Attractor properties for irreversible and reversible interacting particle systems
Benedikt Jahnel, Christof Kuelske
We consider translation-invariant interacting particle systems on the lattice with finite local state space admitting at least one Gibbs measure as a time-stationary measure. The d…
Sharp thresholds for Gibbs-non-Gibbs transition in the fuzzy Potts model with a Kac-type interaction
B. Jahnel, C. Kuelske
We investigate the Gibbs properties of the fuzzy Potts model on the d-dimensional torus with Kac interaction. We use a variational approach for profiles inspired by that of Fernand…