Z-measures on partitions related to the infinite Gelfand pair \((S(2\infty ),H(\infty ))\)
From MaRDI portal
Publication:2268819
DOI10.1016/j.jalgebra.2009.07.012zbMath1191.43001arXiv0904.1719OpenAlexW2010008249MaRDI QIDQ2268819
Publication date: 9 March 2010
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.1719
Measures on groups and semigroups, etc. (43A05) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of infinite symmetric groups (20C32) Infinite automorphism groups (20B27)
Related Items
\(\mathfrak{sl}(2)\) operators and Markov processes on branching graphs ⋮ The \(z\)-measures on partitions, Pfaffian point processes, and the matrix hypergeometric kernel ⋮ Virtual Markov Chains ⋮ The topological support of the z-measures on the Thoma simplex
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(Z\)-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
- Correlation kernels for discrete symplectic and orthogonal ensembles
- Giambelli compatible point processes
- On different models of representations of the infinite symmetric group.
- Asymptotics of Plancherel measures for the infinite-dimensional unitary group
- Jack deformations of Plancherel measures and traceless Gaussian random matrices
- Matrix kernels for measures on partitions
- Point processes and the infinite symmetric group.
- Anisotropic Young diagrams and Jack symmetric functions
- Distributions on partitions, point processes, and the hypergeometric kernel
- Harmonic functions on multiplicative graphs and interpolation polynomials
- Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
- Fredholm determinants, Jimbo‐Miwa‐Ueno τ‐functions, and representation theory
- Infinite wedge and random partitions