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2012 Interacting particle models and the Pieri-type formulas: the symplectic case with non equal weights
Manon Defosseux
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Electron. Commun. Probab. 17: 1-12 (2012). DOI: 10.1214/ECP.v17-2193

Abstract

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 studied by the author.

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Manon Defosseux. "Interacting particle models and the Pieri-type formulas: the symplectic case with non equal weights." Electron. Commun. Probab. 17 1 - 12, 2012. https://doi.org/10.1214/ECP.v17-2193

Information

Accepted: 24 July 2012; Published: 2012
First available in Project Euclid: 7 June 2016

zbMATH: 1251.60072
MathSciNet: MR2955497
Digital Object Identifier: 10.1214/ECP.v17-2193

Subjects:
Primary: 60J05
Secondary: 60B20, 60K35

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