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

@article{Defosseux2011InteractingPM, title={Interacting particle models and the Pieri-type formulas: the symplectic case with non equal weights}, author={Manon Defosseux}, journal={Electronic Communications in Probability}, year={2011}, volume={17}, pages={1-12} }

This paper studies a particle model connected to a Pieri-type formula for the symplectic compact group. Particles evolve independently apart from a blocking and pushing interaction such that they remain in the set of symplectic Gelfand-Tsetlin patterns. We show that if only one row of the patterns is considered, one obtains a symplectic Schur process. The model leads in particular to the particle model with a wall defined by Jon Warren and Peter Windridge and to a matrix model previously… CONTINUE READING

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