Asymptotic representation theory and Riemann-Hilbert problem

2001/10/30 by Alexei Borodin, Borodin, Alexei
Computer Science · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Representation Theory (math.RT) #Spectral Theory in Mathematical Physics #math-ph #math.CA #math.CO #math.MP #math.RT

paper · pdf · doi:10.48550/arxiv.math/0110318

AMSTeX, 15 pages

arxiv created 2001/10/30 · openalex publication_date 2001/10/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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