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Correlation functions of the Pfaffian Schur process using Macdonald difference operators. (arXiv:1705.05859v1 [math.PR])

来源于:arXiv
We study the correlation functions of the Pfaffian Schur process using Macdonald difference operators. Sasamoto and Imamura \cite{SmIm04} introduced the Pfaffian Schur process for studying the polynuclear growth processes in half-space. Later, Borodin and Rains \cite{BR05} derived the correlation functions of the Pfaffian Schur process using a Pfaffian analogue of the Eynard-Mehta theorem. We present here an alternative derivation using Macdonald difference operators. One can find similar exposition for the Schur process in \cite{A14}. 查看全文>>