Background: Luteinizing hormone-releasing hormone (LH-RH) plays a central role in the
vertebrate reproduction by regulating gonadal activity. Based on its binding to pituitary LH …

We consider both hard-core and soft-core Widom–Rowlinson models with spin values on a
Cayley tree of order and we are interested in the Gibbs measures of the models. The models …

We consider the Curie-Weiss Widom-Rowlinson model for particles with spins and holes,
with a repulsion strength beta between particles of opposite spins. We provide a closed …

We consider the soft-core Widom–Rowlinson model for particles with spins and holes, on a
Cayley tree of order d (which has d+ 1 nearest neighbours), depending on repulsion …

We study the metastable minima of the Curie–Weiss Potts model with three states, as a
function of the inverse temperature, and for arbitrary vector-valued external fields. Extending …

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 in …

Abstract We consider the Widom–Rowlinson model on the lattice Z^ d Z d in two versions,
comparing the cases of a hard-core repulsion and of a soft-core repulsion between particles …

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 …

We consider the Widom--Rowlinson model in which hard disks of two possible colors are
constrained to a hard-core repulsion between particles of different colors, in quenched …

We consider the iid Bernoulli field μ p on Z d with occupation density p∈[0, 1]. To each
realization of the set of occupied sites we apply a thinning map that removes all occupied …