Correlation functions of the Schur process through Macdonald difference operators

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:131

Article

Aggarwal, Amol

关键词: Correlation function;    Schur measure;    Schur process;    Macdonald difference operator;   

DOI  :  10.1016/j.jcta.2014.11.009

来源: Elsevier

【 摘 要 】

Introduced by Okounkov and Reshetikhin, the Schur process is known to be a determinantal point process, meaning that its correlation functions are minors of a single correlation kernel matrix. Previously, this was derived using determinantal expressions for the skew-Schur polynomials. In this paper we obtain this result in a different way, using the fact that the Schur polynomials are eigenfunctions of Macdonald difference operators. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free