Interlacing adjacent levels of $\beta$--Jacobi corners processes
Probability
2017-12-27 v2 Mathematical Physics
Combinatorics
math.MP
Quantum Algebra
Representation Theory
Abstract
We study the asymptotics of the global fluctuations for the difference between two adjacent levels in the --Jacobi corners process (multilevel and general extension of the classical Jacobi ensemble of random matrices). The limit is identified with the derivative of the Gaussian Free Field. Our main tools are integral forms for the (Macdonald-type) difference operators originating from the shuffle algebra.
Keywords
Cite
@article{arxiv.1612.02321,
title = {Interlacing adjacent levels of $\beta$--Jacobi corners processes},
author = {Vadim Gorin and Lingfu Zhang},
journal= {arXiv preprint arXiv:1612.02321},
year = {2017}
}
Comments
v2: final journal version to appear in PTRF