Interacting particle models and the Pieri-type formulas : the symplectic case with non equal weights

Manon Defosseux (1)

1 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5

We have introduced recently a particles model with blocking and pushing interactions which is related to a Pieri type formula for the orthogonal group. This model has a symplectic version presented here.

Mots clés: interacting particles models; Gelfand Tsetlin patterns; symplectic Schur functions; Pieri-type formulas; random matrices

Domaines: Probabilités [math.PR]

Manon Defosseux. Interacting particle models and the Pieri-type formulas : the symplectic case with non equal weights. Electronic Communications in Probability, 2012. ⟨hal-00588088v3⟩