23 citations · 62 across the 15 of their papers we have counts for
7 papers · 1 filter
Transition of the simple random walk on the graph of the ice-model
Serge Cohen, Xavier Bressaud
The 6-vertex model is a seminal model for many domains in Mathematics and Physics. The sets of configurations of the 6-vertex model can be described as the sets of paths in multigr…
Diffusions with polynomial eigenvectors via finite subgroups of O(3)
Dominique Bakry, Xavier Bressaud
We provide new examples of diffusion operators in dimension 2 and 3 which have orthogonal polynomials as eigenvectors. Their construction rely on the finite subgroups of O(3) and t…
Mean-field forest-fire models and pruning of random trees
Xavier Bressaud, Nicolas Fournier
We consider a family of discrete coagulation-fragmentation equations closely related to the one-dimensional forest-fire model of statistical mechanics: each pair of particles with…
One-dimensional general forest fire processes
Xavier Bressaud, Nicolas Fournier
We consider the one-dimensional generalized forest fire process: at each site of $\zz$, seeds and matches fall according some i.i.d. stationary renewal processes. When a seed falls…
On the invariant distribution of a one-dimensional avalanche process
Xavier Bressaud, Nicolas Fournier
We consider an interacting particle system with values in , in which each vacant site becomes occupied with rate 1, while each connected com…
Stationary processes whose filtrations are standard
X. Bressaud, A. Maass, S. Martinez +1
We study the standard property of the natural filtration associated to a 0--1 valued stationary process. In our main result we show that if the process has summable memory decay, t…