Generalized Laguerre Unitary Ensembles and an interacting particles model with a wall

Manon Defosseux (1)

1 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5

We introduce and study a new interacting particles model with a wall and two kinds of interactions - blocking and pushing - which maintain particles in a certain order. We show that it involves a random matrix model.

Mots clés: Random matrices; interacting particles

Domaines: Probabilités [math.PR]

Manon Defosseux. Generalized Laguerre Unitary Ensembles and an interacting particles model with a wall. Electronic Communications in Probability, 2011, 16, p 59-69. ⟨10.2014/ECP.v16-1602⟩. ⟨hal-00489183⟩