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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 158, Number 1, Pages 23–48
DOI: https://doi.org/10.4213/tmf6297 (Mi tmf6297) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Fermionic approach for evaluating integrals of rational symmetric functions

J. Harnadab, A. Yu. Orlovc

a Université de Montréal, Centre de Recherches Mathématiques
b Concordia University, Department of Mathematics and Statistics
c P. P. Shirshov institute of Oceanology of RAS
Full-text PDF (610 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6297
Abstract: We use the fermionic construction of two-matrix model partition functions to evaluate integrals over rational symmetric functions. This approach is complementary to the one used in our previous paper, where these integrals were evaluated by a direct method. Using Wick's theorem, we obtain the same determinantal expressions in terms of biorthogonal polynomials.
Keywords: random matrix, two-matrix model, multiple integral, factorization, dressing method, characteristic polynomial, free fermion.
Received: 06.12.2007
English version:
Theoretical and Mathematical Physics, 2009, Volume 158, Issue 1, Pages 17–39
DOI: https://doi.org/10.1007/s11232-009-0002-x
Bibliographic databases:
Language: Russian
Citation: J. Harnad, A. Yu. Orlov, “Fermionic approach for evaluating integrals of rational symmetric functions”, TMF, 158:1 (2009), 23–48; Theoret. and Math. Phys., 158:1 (2009), 17–39
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6297
  • https://doi.org/10.4213/tmf6297
  • https://www.mathnet.ru/eng/tmf/v158/i1/p23
    • This publication is cited in the following 2 articles:
    1. I M Loutsenko, V P Spiridonov, O V Yermolayeva, “Solitons and normal random matrices”, J. Stat. Mech., 2023:10 (2023), 103202  crossref
    2. J. Harnad, J. W. van de Leur, A. Yu. Orlov, “Multiple sums and integrals as neutral BKP tau functions”, Theoret. and Math. Phys., 168:1 (2011), 951–962  mathnet  crossref  crossref  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :231
    References:94
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