Some examples of dynamics for Gelfand-Tsetlin patterns
Warren, Jon and Windridge, Peter. (2009) Some examples of dynamics for Gelfand-Tsetlin patterns. Electronic Journal of Probability, Vol.14 . pp. 1745-1769. ISSN 1083-6489
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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|
|Number of Pages:||25|
|Page Range:||pp. 1745-1769|
|Access rights to Published version:||Open Access|
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