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Eynard-Mehta theorem, Schur process, and their pfaffian analogs

2004/09/30 by Alexei Borodin, Eric M. Rains · 1 citation
Physics and Astronomy · Mathematics · #math-ph #math.MP #math.PR

paper · pdf · doi:10.1007/s10955-005-7583-z

AMSTeX, 21 pages, a new section added

arxiv created 2005/02/12 · arxiv updated 2009/12/01

Abstract

We give simple linear algebraic proofs of Eynard-Mehta theorem, 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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