Z-Measures on partitions, Robinson-Schensted-Knuth correspondence, and beta=2 random matrix ensembles
Combinatorics
2007-05-23 v1 Probability
Representation Theory
Exactly Solvable and Integrable Systems
solv-int
Abstract
We suggest an hierarchy of all the results known so far about the connection of the asymptotics of combinatorial or representation theoretic problems with ``beta=2 ensembles'' arising in the random matrix theory. We show that all such results are, essentially, degenerations of one general situation arising from so-called generalized regular representations of the infinite symmetric group.
Keywords
Cite
@article{arxiv.math/9905189,
title = {Z-Measures on partitions, Robinson-Schensted-Knuth correspondence, and beta=2 random matrix ensembles},
author = {Alexei Borodin and Grigori Olshanski},
journal= {arXiv preprint arXiv:math/9905189},
year = {2007}
}
Comments
AMSTeX, 19 pages