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


 
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1. Title Title of document Interacting particle models and the Pieri-type formulas : the symplectic case with non equal weights
 
2. Creator Author's name, affiliation, country Manon Defosseux; Université Paris Descartes; France
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) interacting particle model ; intertwining ; Schur processes ; random matrices ; Gelfand-Tsetlin patterns
 
3. Subject Subject classification 60J05 ; 60K35 ; 60B20
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2012-07-24
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/2193
 
10. Identifier Digital Object Identifier 10.1214/ECP.v17-2193
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 17
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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