31 citations · 89 across the 7 of their papers we have counts for
7 papers
Height-offset variables and pinning at infinity for gradient Gibbs measures on trees
Florian Henning, Christof Kuelske
Height-offset variables (HOVs) provide a mechanism, known as "pinning at infinity", to lift gradient Gibbs measures (GGMs) - describing interface increments - to proper Gibbs measu…
Gibbs Properties of the Bernoulli field on inhomogeneous trees under the removal of isolated sites
Florian Henning, Christof Külske, Niklas Schubert
We consider the i.i.d. Bernoulli field with occupation density on a possibly non-regular countably infinite tree with bounded degrees. For large , we show th…
Infinite-volume states with irreducible localization sets for gradient models on trees
Alberto Abbondandolo, Florian Henning, Christof Kuelske +1
We consider general classes of gradient models on regular trees with values in a countable Abelian group such as or , in regimes of strong coupling (…
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…
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…
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…