Some interacting particle systems : the golf and the parking models on the cycle, on Z, and on trees

par Zoé Varin

jeudi 15 oct. 2026, 14:30 → 15:30 Europe/Paris

435 (ENS de Lyon)

We study some interacting particle systems, where particles move until they reach a vertex free of any other particle (and then stop forever). When the underlying graph is a cycle, these models can be seen as generalizations of the well-known parking model. The parking model has also been studied on the infinite line and on trees, with a deterministic moving strategy for the particles. Here, we define and study the case when particles do random walks, and we describe the distribution of the final configuration.