Abstract
Several infinite sets of models of random surfaces, defined by means of integrals over matrix ensembles, are solved in a double-scaling limit. These models are exactly soluble in at least two distinct large N limits. The triangulated surfaces are complicated due to the existence of two distinct kinds of vertices in the triangulations. In one limit, the matrices possess a finite and fixed number of degrees of freedom as N becomes large-nevertheless, these models possess a nontrivial double-scaling limit. A special case of the other limit is known to describe two-dimensional quantum gravity.
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