Geodesic
Fermionic approach for evaluating integrals of rational symmetric functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 158 (2009) no. 1, pp. 23-48

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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.
Mots-clés : random matrix, free fermion.
Keywords: two-matrix model, multiple integral, factorization, dressing method, characteristic polynomial 
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     author = {J. Harnad and A. Yu. Orlov},
     title = {Fermionic approach for evaluating integrals of rational symmetric functions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {158},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_158_1_a1/}
}
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J. Harnad; A. Yu. Orlov. Fermionic approach for evaluating integrals of rational symmetric functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 158 (2009) no. 1, pp. 23-48. http://geodesic.mathdoc.fr/item/TMF_2009_158_1_a1/