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arXiv · 0812.0022

Some Examples of Dynamics for Gelfand Tsetlin Patterns

Jon Warren·Peter Windridge
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Abstract

We give examples of stochastic processes in the Gelfand Tsetlin cone in which each component evolves independently apart from a blocking and pushing interaction. The processes give couplings to certain conditioned Markov processes, last passage times and asymetric exclusion processes. An example of a cone valued process whose components cannot escape past a wall at the origin is also considered.

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Jon Warren, Peter Windridge. 2009-11-29. Some Examples of Dynamics for Gelfand Tsetlin Patterns. https://arxiv.org/abs/0812.0022

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