Discrete orthogonal ensemble on the exponential lattices
Mathematical Physics
2022-06-20 v1 math.MP
Abstract
Inspired by Aomoto's -Selberg integral, the orthogonal ensemble in the exponential lattice is considered in this paper. By introducing a skew symmetric kernel, the configuration space of this ensemble is constructed to be symmetric and thus, corresponding skew inner product, skew orthogonal polynomials as well as correlation functions are explicitly formulated. Examples including Al-Salam & Carlitz, -Laguerre, little -Jacobi and big -Jacobi cases are considered.
Cite
@article{arxiv.2206.08633,
title = {Discrete orthogonal ensemble on the exponential lattices},
author = {Peter J Forrester and Shi-Hao Li and Bo-Jian Shen and Guo-Fu Yu},
journal= {arXiv preprint arXiv:2206.08633},
year = {2022}
}
Comments
32 pages. Comments are welcome