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

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

2004-09-21

arxiv.org/abs/math-ph/0409059v2

Physics

Mathematical Physics

AMSTeX, 21 pages, a new section added

Scientific paper

10.1007/s10955-005-7583-z

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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