English

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

Mathematical Physics 2009-11-10 v2 math.MP Probability

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.

Keywords

Cite

@article{arxiv.math-ph/0409059,
  title  = {Eynard-Mehta theorem, Schur process, and their pfaffian analogs},
  author = {Alexei Borodin and Eric M. Rains},
  journal= {arXiv preprint arXiv:math-ph/0409059},
  year   = {2009}
}

Comments

AMSTeX, 21 pages, a new section added

R2 v1 2026-07-22T16:24:58.470Z