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On Measures on Partitions Arising in Harmonic Analysis for Linear and Projective Characters of the Infinite Symmetric Group
Partitions Arising Harmonic Analysis the Infinite Symmetric Group Combinatorics
2011/8/25
Abstract: The z-measures on partitions originated from the problem of harmonic analysis of linear representations of the infinite symmetric group in the works of Kerov, Olshanski and Vershik (1993, 20...
Pfaffian L-ensembles related to the z-measures on partitions with the Jack parameters 1/2 or 2
the z-measures on partitions the Jack parameters
2010/11/15
We construct Pfaffian L-ensembles related to the z-measures on partitions and to the Plancherel measures on partitions with the Jack parameters 1/2 or 2. The results imply that these measures on part...