The \(z\)-measures on partitions, Pfaffian point processes, and the matrix hypergeometric kernel
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Publication:962151
DOI10.1016/j.aim.2009.11.008zbMath1205.60099arXiv0905.1994OpenAlexW2043216388MaRDI QIDQ962151
Publication date: 6 April 2010
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0905.1994
correlation functionsYoung diagramsrandom partitionsPfaffian point processesMeixner orthogonal polynomials
Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Representations of infinite symmetric groups (20C32) Nonstandard measure theory (28E05)
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Cites Work
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- Random partitions and the gamma kernel
- \(Z\)-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
- Markov processes on partitions
- Correlation kernels for discrete symplectic and orthogonal ensembles
- Giambelli compatible point processes
- Determinantal processes and independence
- Jack deformations of Plancherel measures and traceless Gaussian random matrices
- Matrix kernels for measures on partitions
- Discrete polynuclear growth and determinantal processes
- Point processes and the infinite symmetric group.
- Anisotropic Young diagrams and Jack symmetric functions
- Distributions on partitions, point processes, and the hypergeometric kernel
- Correlation functions, cluster functions, and spacing distributions for random matrices
- On the relation between orthogonal, symplectic and unitary matrix ensembles
- Harmonic functions on multiplicative graphs and interpolation polynomials
- Z-measures on partitions related to the infinite Gelfand pair \((S(2\infty ),H(\infty ))\)
- Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process
- Determinantal random point fields
- On the distribution of the length of the longest increasing subsequence of random permutations
- Fredholm determinants, Jimbo‐Miwa‐Ueno τ‐functions, and representation theory
- DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS
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