Some Examples of Dynamics for Gelfand Tsetlin Patterns
Probability
2009-11-29 v2
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.
Cite
@article{arxiv.0812.0022,
title = {Some Examples of Dynamics for Gelfand Tsetlin Patterns},
author = {Jon Warren and Peter Windridge},
journal= {arXiv preprint arXiv:0812.0022},
year = {2009}
}
Comments
22 Pages, 1 figure. Corrected typos and expanded introduction