We continue our study of the full set of translation‐invariant splitting Gibbs measures
(TISGMs, translation‐invariant tree‐indexed Markov chains) for the q‐state Potts model on a …

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 …

In this paper, we derive the large deviation principle for the Potts model on the complete
bipartite graph K n, n as n increases to infinity. Next, for the Potts model on K n, n, we …

In this paper, we present a novel extension to the classical path coupling method to
statistical mechanical models which we refer to as aggregate path coupling. In conjunction …

We consider the locally thinned Bernoulli field on $\mathbb Z^ d $, which is the lattice
version of the Type-I Mat\'ern hardcore process in Euclidean space. It is given as the lattice …

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 Fernández …

Abstract We consider the Curie–Weiss Potts model in zero external field under independent
symmetric spin-flip dynamics. We investigate dynamical Gibbs–non-Gibbs transitions for a …

The coupling method is known as one of the few purely probabilistic techniques in
mathematics. In combination with other methods, the coupling has been an effective tool in …

We provide an example of a discrete-time Markov process on the three-dimensional infinite
integer lattice with Z q-invariant Bernoulli-increments which has as local state space the …

In this thesis we are investigating a time-evolved version of the symmetric mean-field Potts
model. It is our goal to understand the critical parameters (both temperature and time) for …