Warren, Jon and Windridge, Peter (2009) Some examples of dynamics for Gelfand-Tsetlin patterns. Electronic Journal of Probability, Vol.14 . pp. 1745-1769.

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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.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH):	Stochastic processes
Journal or Publication Title:	Electronic Journal of Probability
Publisher:	University of Washington. Dept. of Mathematics
ISSN:	1083-6489
Official Date:	2009
Dates:	Date Event 2009 Published
Date of first compliant deposit:	1 August 2016
Volume:	Vol.14
Number of Pages:	25
Page Range:	pp. 1745-1769
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access

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