Multidimensional hypergeometric distribution and characters of the unitary group

DOI10.1007/s10958-005-0309-6zbMath1145.60300OpenAlexW2012799643MaRDI QIDQ937854

Sergei Kerov

Publication date: 18 August 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0309-6

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Probability distributions: general theory (60E05) Combinatorial probability (60C05) Other hypergeometric functions and integrals in several variables (33C70) Probability theory on algebraic and topological structures (60B99)

Cites Work

• \(Z\)-measures on partitions and their scaling limits
• Harmonic analysis on the infinite symmetric group
• Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes
• Binomial determinants, paths, and hook length formulae
• Measures on infinite dimensional Grassmann manifolds
• The problem of harmonic analysis on the infinite-dimensional unitary group.
• Anisotropic Young diagrams and Jack symmetric functions
• Asymptotic theory of characters of the symmetric group
• Harmonic functions on multiplicative graphs and interpolation polynomials
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