Pfaffian L-ensembles related to the z-measures on partitions with the Jack parameters 1/2 or 2
Combinatorics
2010-11-10 v1 Mathematical Physics
math.MP
Probability
Abstract
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 partitions lead to Pfaffian point processes, and the correlation kernels of these processes can be expressed in terms of the corresponding L-matrices. We give explit formulae for these L-matrices.
Keywords
Cite
@article{arxiv.1011.2084,
title = {Pfaffian L-ensembles related to the z-measures on partitions with the Jack parameters 1/2 or 2},
author = {Eugene Strahov},
journal= {arXiv preprint arXiv:1011.2084},
year = {2010}
}
Comments
24 pages