Correlation Functions of the Pfaffian Schur Process Using Macdonald Difference Operators

被引：2
|
作者：
Ghosal, Promit [1 ]
机构：
[1] Columbia Univ, Dept Stat, 1255 Amsterdam Ave, New York, NY 10027 USA
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2019年 / 15卷
基金：
美国国家科学基金会;
关键词：
partitions; Pfaffian Schur process; Macdonald difference operators; FREE-ENERGY FLUCTUATIONS; POLYNUCLEAR GROWTH; IDENTITIES; DYNAMICS; FORMULA; MODEL;
D O I：
10.3842/SIGMA.2019.092
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the correlation functions of the Pfaffian Schur process. Borodin and Rains [J. Stat. Phys. 121 (2005), 291-317] introduced the Pfaffian Schur process and derived its correlation functions using a Pfaffian analogue of the Eynard-Mehta theorem. We present here an alternative derivation of the correlation functions using Macdonald difference operators.
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页数：37
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