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Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs

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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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Authors and Affiliations

  1. Department of Mathematics, California Institute of Technology, Pasadena, CA, 91125

    Alexei Borodin

  2. Department of Mathematics, University of California–Davis, Davis, CA, 95616-8633

    Eric M. Rains

Authors
  1. Alexei Borodin
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  2. Eric M. Rains
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Borodin, A., Rains, E.M. Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs. J Stat Phys 121, 291–317 (2005). https://doi.org/10.1007/s10955-005-7583-z

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  • DOI: https://doi.org/10.1007/s10955-005-7583-z

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