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- W3103850130 abstract "We study several-matrix models and show that when the potential is convex and a small perturbation of the Gaussian potential, the first order correction to the free energy can be expressed as a generating function for the enumeration of maps of genus one. In order to do that, we prove a central limit theorem for traces of words of the weakly interacting random matrices defined by these matrix models and show that the variance is a generating function for the number of planar maps with two vertices with prescribed colored edges." @default.
- W3103850130 created "2020-11-23" @default.
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- W3103850130 date "2007-11-01" @default.
- W3103850130 modified "2023-09-27" @default.
- W3103850130 title "Second order asymptotics for matrix models" @default.
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- W3103850130 doi "https://doi.org/10.1214/009117907000000141" @default.
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