Correlation functions of the Schur process through Macdonald difference operators

被引：3
|
作者：
Aggarwal, Amol [1 ]
机构：
[1] MIT, Cambridge, MA 02139 USA
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 2015年 / 131卷
关键词：
Correlation function; Schur measure; Schur process; Macdonald difference operator; FLUCTUATIONS; GROWTH;
D O I：
10.1016/j.jcta.2014.11.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：88 / 118
页数：31
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