Pierre-Yves Louis (Université de Poitiers, France)
A variational perspective on reversible Probabilistic Cellular Automata
We consider the multibody interaction potential on the Z^2 lattice, associated to a parametrised family of reversible "probabilistic cellular automata" which are discrete time multicomponent synchronous interacting stochastic dynamics. Using a variational perspective and a mean-field approximation, we will study the phase diagram and the influence of the parameters. In some region of the parameters, there is an interesting emergence of patterns.