Z-Measures on partitions, Robinson-Schensted-Knuth correspondence, and beta=2 random matrix ensembles

Details Z-Measures on partitions, Robinson-Schensted-Knuth correspondence, and beta=2 random matrix ensembles Z-Measures on partitions, Robinson-Schensted-Knuth correspondence, and beta=2 random matrix ensembles

1999-05-29

arxiv.org/abs/math/9905189v1

In: Random matrix models and their applications (P.M.Bleher and R.A.Its, eds), Math. Sci. Res. Inst. Publ., vol. 40, Cambridge

Mathematics

Combinatorics

AMSTeX, 19 pages

Scientific paper

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.

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