This article is cited in 2 papers

Correlation Functions of the Pfaffian Schur Process Using Macdonald Difference Operators

Promit Ghosal

Department of Statistics, Columbia University, 1255 Amsterdam Avenue, New York, NY 10027, USA

Abstract: 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.

Keywords: partitions, Pfaffian Schur process, Macdonald difference operators.

MSC: 60C05; O5E05

Received: September 14, 2018; in final form November 19, 2019; Published online November 26, 2019

Language: English

DOI: 10.3842/SIGMA.2019.092

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ArXiv: 1705.05859