Correlation Functions of the Pfaffian Schur Process Using Macdonald Difference Operators

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dc.contributor.authorGhosal, P.
dc.date.accessioned2025-12-05T09:23:47Z
dc.date.issued2019
dc.description.abstractWe 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.
dc.description.sponsorshipThe author is grateful to his adviser, Professor Ivan Corwin, for suggesting the problem considered in this paper. We also thankfully acknowledge his numerous critical comments on the earlier versions of this paper. We are thankful to Guillaume Barraquand for his various remarks on the proofs and especially, suggesting a substitution in Theorem 5.2. We thank the anonymous referees whose comments have greatly improved this manuscript. We also like to thank Professor Alexei Borodin for pointing out some mistakes in the citations, which have been corrected.
dc.identifier.citationCorrelation Functions of the Pfaffian Schur Process Using Macdonald Difference Operators / P. Ghosal // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 41 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2019.092
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 60C05; O5E05
dc.identifier.otherarXiv: 1705.05859
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210296
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleCorrelation Functions of the Pfaffian Schur Process Using Macdonald Difference Operators
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2019, том 15, випуск за цей рік