Published November 2005
| Submitted
Journal Article
Open
Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs
- Creators
- Borodin, Alexei
-
Rains, Eric M.
Chicago
An error occurred while generating the citation.
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.
Additional Information
© 2005 Springer Science+Business Media, Inc. Received February 11, 2005; accepted June 17, 2005. This research was partially conducted during the period one of the authors (A.B.) served as a Clay Mathematics Institute Research Fellow. He was also partially supported by the NSF grant DMS-0402047. E. R. would like to thank J. Stembridge for introducing him to the elementary proof of the Cauchy–Binet identity generalized by the present arguments.Attached Files
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Additional details
- Eprint ID
- 81990
- DOI
- 10.1007/s10955-005-7583-z
- Resolver ID
- CaltechAUTHORS:20171003-102643862
- Clay Mathematics Institute
- NSF
- DMS-0402047
- Created
-
2017-10-03Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field