Published September 7, 2007
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Journal Article
Open
A note on the Pfaffian integration theorem
- Creators
- Borodin, Alexei
- Kanzieper, Eugene
Chicago
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Abstract
Two alternative, fairly compact proofs are presented of the Pfaffian integration theorem that surfaced in the recent studies of spectral properties of Ginibre's Orthogonal Ensemble. The first proof is based on a concept of the Fredholm Pfaffian; the second proof is purely linear algebraic.
Additional Information
Copyright © Institute of Physics and IOP Publishing Limited 2007. Received 18 July 2007, in final form 31 July 2007. Published 21 August 2007. Print publication: Issue 36 (7 September 2007) EK is grateful to G Akemann, a joint work with whom on the integrable structure of Ginibre's Orthogonal Ensemble has triggered this study. AB was partially supported by the NSF grants DMS-0402047 and DMS-0707163. EK acknowledges a partial support by the Israel Science Foundation through the grant no 286/04.Files
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Additional details
- Eprint ID
- 8644
- Resolver ID
- CaltechAUTHORS:BORjpa07
- Created
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2007-09-02Created from EPrint's datestamp field
- Updated
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2022-07-12Created from EPrint's last_modified field