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A note on the Pfaffian integration theorem

Borodin, Alexei and Kanzieper, Eugene (2007) A note on the Pfaffian integration theorem. Journal of Physics A: Mathematical and Theoretical, 40 (36). F849-F855. ISSN 1751-8113.

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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.

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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.
Issue or Number:36
Record Number:CaltechAUTHORS:BORjpa07
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8644
Deposited By: Archive Administrator
Deposited On:02 Sep 2007
Last Modified:02 Oct 2019 23:53

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