Topological Expansion for the Cauchy two-Matrix-Model

Details Topological Expansion for the Cauchy two-Matrix-Model Topological Expansion for the Cauchy two-Matrix-Model

2009-03-13

arxiv.org/abs/0903.2512v1

J. Phys. A: Math. Theor. (2009) 42 335201

Physics

Mathematical Physics

28 pages, 22 figures

Scientific paper

10.1088/1751-8113/42/33/335201

Recently, a two-matrix-model with a new type of interaction [1] has been
introduced and analyzed using bi-orthogonal polynomial techniques. Here we
present the complete 1/N^2 expansion for the formal version of this model,
following the spirit of [2,3], i.e. the full expansion for the non mixed
resolvent correlators and for the free energies.

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