Matrix kernels for measures on partitions

Eugene Strahov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We consider the problem of computation of the correlation functions for the z-measures with the deformation (Jack) parameters 2 or 1/2. Such measures on partitions are originated from the representation theory of the infinite symmetric group, and in many ways are similar to the ensembles of Random Matrix Theory of β=4 or β=1 symmetry types. For a certain class of such measures we show that correlation functions can be represented as Pfaffians including 2×2 matrix valued kernels, and compute these kernels explicitly. We also give contour integral representations for correlation kernels of closely connected measures on partitions.

Original languageAmerican English
Pages (from-to)899-919
Number of pages21
JournalJournal of Statistical Physics
Issue number5
StatePublished - Dec 2008

Bibliographical note

Funding Information:
Supported by US-Israel Binational Science Foundation (BSF) Grant No. 2006333.


  • Correlation functions
  • Pfaffian point processes
  • Random Young diagrams
  • Random partitions
  • Symmetric functions


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