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The Topological Support of the z-Measures on the Thoma Simplex.
- Source :
-
Functional Analysis & Its Applications . Oct2018, Vol. 52 Issue 4, p308-310. 3p. - Publication Year :
- 2018
-
Abstract
- The Thoma simplex Ω is an infinite-dimensional space, a kind of dual object to the infinite symmetric group. The z-measures are probability measures on Ω depending on three continuous parameters. One of them is the parameter of the Jack symmetric functions, and in the limit as it goes to 0, the z-measures turn into the Poisson-Dirichlet distributions. The definition of the z-measures is somewhat implicit. We show that the topological support of any nondegenerate z-measure is the whole space Ω. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00162663
- Volume :
- 52
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Functional Analysis & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 134563742
- Full Text :
- https://doi.org/10.1007/s10688-018-0240-5