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Some examples of dynamics for Gelfand-Tsetlin patterns


 
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1. Title Title of document Some examples of dynamics for Gelfand-Tsetlin patterns
 
2. Creator Author's name, affiliation, country Jon Warren; Department of Statistics, University of Warwick
 
2. Creator Author's name, affiliation, country Peter Windridge; Department of Statistics, University of Warwick
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Gelfand-Tsetlin cone; conditioned Markov process; exclusion process; last passage percolation; random matrices
 
3. Subject Subject classification 60J25; 60C05
 
4. Description Abstract We give three examples of stochastic processes in the Gelfand-Tsetlin cone in which each component evolves independently apart from a blocking and pushing interaction. These processes give rise to couplings between certain conditioned Markov processes, last passage times and exclusion processes. In the first two examples, we deduce known identities in distribution between such processes whilst in the third example, the components of the process cannot escape past a wall at the origin and we obtain a new relation.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2009-08-24
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/682
 
10. Identifier Digital Object Identifier 10.1214/EJP.v14-682
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 14
 
12. Language English=en
 
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