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}
}
  • Manon Defosseux
  • Published 2011
  • Mathematics
  • Electronic Communications in Probability
  • 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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