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We show that the large N expansion in the multi-trace 1 formal hermitian matrix model is governed by the topological recursion of [Eynard and Orantin, 2007] with initial conditions.
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B. Eynard, All genus correlation functions for the hermitian 1 1 -matrix model , JHEP (2004), no. 0411:031, hep-th/0407261
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L.O. Chekhov, B. Eynard, and N. Orantin, Free energy topological expansion for the 2-matrix model , JHEP (2006), no. 0612:053, math-ph/0603003
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L.O. Chekhov, Hermitean matrix model free energy: Feynman graph technique for all genera , JHEP (2006), no. 0603:014, hep-th/0504116
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2010
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2011
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2012
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2012
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V. Bouchard, A. Klemm, M. Mariño, and S. Pasquetti, Remodeling the B-model , Commun. Math. Phys. 287
2009
Cited alongside, same era.
M. Bergère and B. Eynard, Determinantal formulae and loop equations , math-ph/0901.3273
Cited in the paper.
G. Borot and B. Eynard, Tracy-Widom GUE law and symplectic invariants , nlin.SI/1011.1418
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Cited in the paper.
G. Borot, A. Guionnet, and K. Kozlowski, in progress
Cited in the paper.
Cited in the paper.
B. Eynard and N. Orantin, Invariants of algebraic curves and topological expansion , math-ph/0702045
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2012
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M. Mulase and M. Penkava, Topological recursion for the Poincaré polynomial of the combinatorial moduli space of curves , Adv. Math. 230
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