Some Examples of Dynamics for Gelfand Tsetlin Patterns

Details Some Examples of Dynamics for Gelfand Tsetlin Patterns Some Examples of Dynamics for Gelfand Tsetlin Patterns

2008-11-28

arxiv.org/abs/0812.0022v2

Mathematics

Probability

22 Pages, 1 figure. Corrected typos and expanded introduction

Scientific paper

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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