Published November 2005
| Version Submitted
Journal Article
Open
Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs
Creators
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1.
California Institute of Technology
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2.
University of California, Davis
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
Submitted - 0409059.pdf
Files
0409059.pdf
Additional details
Identifiers
- Eprint ID
- 81990
- DOI
- 10.1007/s10955-005-7583-z
- Resolver ID
- CaltechAUTHORS:20171003-102643862
Related works
- Describes
- 10.1007/s10955-005-7583-z (DOI)
- https://arxiv.org/abs/math-ph/0409059 (URL)
Funding
- Clay Mathematics Institute
- NSF
- DMS-0402047
Dates
- Created
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2017-10-03Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department