Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs |
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| Authors: | Alexei Borodin Eric M Rains |
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| Institution: | (1) Department of Mathematics, California Institute of Technology, Pasadena, CA, 91125;(2) Department of Mathematics, University of California–Davis, Davis, CA, 95616-8633 |
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| Abstract: | We give simple linear algebraic proofs of the Eynard–Mehta theorem, the Okounkov-Reshetikhin formula for the correlation kernel
of the Schur process, and Pfaffian analogs of these results. We also discuss certain general properties of the spaces of all
determinantal and Pfaffian processes on a given finite set |
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| Keywords: | Eynard– Mehta theorem Schur process determinantal and pfaffian point processes |
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