The topological support of the z-measures on the Thoma simplex

DOI10.1007/s10688-018-0240-5zbMath1422.43001arXiv1809.07125OpenAlexW2891602074MaRDI QIDQ2314184

Grigori Olshanski

Publication date: 19 July 2019

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07125

zbMATH Keywords

symmetric functionPoisson-Dirichlet distributiontopological supportz-measure

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Representations of infinite symmetric groups (20C32)

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Cites Work

• \(Z\)-measures on partitions and their scaling limits
• Harmonic analysis on the infinite symmetric group
• Infinite-dimensional diffusions as limits of random walks 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
• Transition functions of diffusion processes on the Thoma simplex
• Z-measures on partitions related to the infinite Gelfand pair \((S(2\infty ),H(\infty ))\)
• The Poisson-Dirichlet Distribution and Related Topics
• Anisotropic Young Diagrams and Infinite-Dimensional Diffusion Processes with the Jack Parameter
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