Asymptotic representation theory and Riemann-Hilbert problem
Representation Theory
2007-05-23 v1 Mathematical Physics
Classical Analysis and ODEs
Combinatorics
math.MP
Abstract
We show how the Riemann-Hilbert problem can be used to compute correlation kernels for determinantal point processes arising in different models of asymptotic combinatorics and representation theory. The Whittaker kernel and the discrete Bessel kernel are computed as examples.
Cite
@article{arxiv.math/0110318,
title = {Asymptotic representation theory and Riemann-Hilbert problem},
author = {Alexei Borodin},
journal= {arXiv preprint arXiv:math/0110318},
year = {2007}
}
Comments
AMSTeX, 15 pages