The paper deals with the z-measures on partitions with the deformation (Jack) parameters 2 or 1/2. We provide a detailed explanation of the representation-theoretic origin of these measures, and of their role in the harmonic analysis on the infinite symmetric group.
Bibliographical noteFunding Information:
E-mail address: email@example.com. 1 Supported by US-Israel Binational Science Foundation (BSF) Grant No. 2006333, and by Israel Science Foundation (ISF) Grant No. 0397937.
- Gelfand pairs
- Infinite symmetric group
- Random partitions
- Symmetric functions