An interacting particles model and a Pieri-type formula for the orthogonal group

Manon Defosseux (1)

1 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5

We introduce a new interacting particles model with blocking and pushing interactions. Particles evolve on the positive line jumping on their own volition rightwards or leftwards according to geometric jumps with parameter q. We show that the model involves a Pieri-type formula for the orthogonal group. We prove that the two extreme cases - q=0 and q=1 - lead respectively to a random tiling model studied by Borodin and Kuan and to a random matrix model.

Mots clés: interacting particles; random tiling; random matrices; Pieri formula

Domaines: Probabilités [math.PR]

Manon Defosseux. An interacting particles model and a Pieri-type formula for the orthogonal group. 2010. ⟨hal-00541665v1⟩