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2009 Some examples of dynamics for Gelfand-Tsetlin patterns
Jon Warren, Peter Windridge
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Electron. J. Probab. 14: 1745-1769 (2009). DOI: 10.1214/EJP.v14-682


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.


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Jon Warren. Peter Windridge. "Some examples of dynamics for Gelfand-Tsetlin patterns." Electron. J. Probab. 14 1745 - 1769, 2009.


Accepted: 24 August 2009; Published: 2009
First available in Project Euclid: 1 June 2016

zbMATH: 1196.60135
MathSciNet: MR2535012
Digital Object Identifier: 10.1214/EJP.v14-682

Primary: 60J25
Secondary: 60C05

Keywords: conditioned Markov process , Exclusion process , Gelfand-Tsetlin cone , Last passage percolation , random matrices

Vol.14 • 2009
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