Schur dynamics of the Schur processes
Combinatorics
2010-01-21 v1 Mathematical Physics
math.MP
Probability
Abstract
We construct discrete time Markov chains that preserve the class of Schur processes on partitions and signatures. One application is a simple exact sampling algorithm for q^{volume}-distributed skew plane partitions with an arbitrary back wall. Another application is a construction of Markov chains on infinite Gelfand-Tsetlin schemes that represent deterministic flows on the space of extreme characters of the infinite-dimensional unitary group.
Cite
@article{arxiv.1001.3442,
title = {Schur dynamics of the Schur processes},
author = {Alexei Borodin},
journal= {arXiv preprint arXiv:1001.3442},
year = {2010}
}
Comments
22 pages