Asymptotic representation theory and Riemann-Hilbert problem

Details Asymptotic representation theory and Riemann-Hilbert problem Asymptotic representation theory and Riemann-Hilbert problem

2001-10-30

arxiv.org/abs/math/0110318v1

Mathematics

Representation Theory

AMSTeX, 15 pages

Scientific paper

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.

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