Almost flat planar diagrams

@article{Kazakov1996AlmostFP,
  title={Almost flat planar diagrams},
  author={Vladimir A. Kazakov and Matthias Staudacher and Thomas Wynter},
  journal={Communications in Mathematical Physics},
  year={1996},
  volume={179},
  pages={235-256}
}
We continue our study of matrix models of dually weighted graphs. Among the attractive features of these models is the possibility to interpolate between ensembles of regular and random two-dimensional lattices, relevant for the study of the crossover from two-dimensional flat space to two-dimensional quantum gravity. We further develop the formalism of largeN character expansions. In particular, a general method for determining the largeN limit of a character is derived. This method, aside… 
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The planar approximation is reconsidered. It is shown that a saddle point method is ineffective, due to the large number of degrees of freedom. The problem of eliminating angular variables is
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