Correlation Functions of the Pfaffian Schur Process Using Macdonald Difference Operators

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.

References in corpus (5)

• Fluctuations of a one-dimensional polynuclear growth model in a half space
• The free boundary Schur process and applications I
• Macdonald processes, quantum integrable systems and the Kardar-Parisi-Zhang universality class
• Facilitated exclusion process
• Correlations for symplectic and orthogonal Schur measures

Cited by in corpus (5)

• The free boundary Schur process and applications I
• Half-space Macdonald processes
• Stationary half-space last passage percolation
• Correlations for symplectic and orthogonal Schur measures
• The half-space Airy stat process