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 values at …

These lecture notes give an introduction to the theory of interacting particle systems. The
main subjects are the construction using generators and graphical representations, the …

This thesis is concerned with Gibbs measures and gradient Gibbs measures for height
configurations on the regular tree with spatially homogeneous interaction of gradient type …

We analyze the generalized mean-field q-state Potts model which is obtained by replacing
the usual quadratic interaction function in the mean-field Hamiltonian by a higher power z …

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 …

By refining Holley's free energy technique, we show that, under quite general assumptions
on the dynamics, the attractor of a (possibly non-translation-invariant) interacting particle …

We extend results on quadratic pressure and convergence of Gibbs measures from
Leplaideur and Watbled (Bull Soc Math France 147 (2): 197–219, 2019) to some general …

We analyze a non-reversible mean-field jump dynamics for discrete q-valued rotators and
show in particular that it exhibits synchronization. The dynamics is the mean-field analogue …

We provide a class of examples of interacting particle systems on $\mathbb {Z}^ d $, for $
d\in\{1, 2\} $, that admit a unique translation-invariant stationary measure, which is not the …

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 …