# Correlation Functions of the Pfaffian Schur Process Using Macdonald Difference Operators

## TL;DR

This paper derives the correlation functions of the Pfaffian Schur process using Macdonald difference operators as an alternative to previous methods, providing new analytical tools for studying this probabilistic model.

## Contribution

It introduces a novel derivation of the correlation functions of the Pfaffian Schur process using Macdonald difference operators, expanding the analytical approaches available.

## Key findings

- Derived correlation functions using Macdonald difference operators
- Provided an alternative to the Pfaffian Eynard-Mehta theorem approach
- Enhanced analytical understanding of the Pfaffian Schur process

## 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.