Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 15 (2019), 092, 37 pages      arXiv:1705.05859      https://doi.org/10.3842/SIGMA.2019.092

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

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

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.

Key words: partitions; Pfaffian Schur process; Macdonald difference operators.

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