Question 1: What is the status of string random matrix models (~ triangulated random surfaces) with c>1?
In my limited search, I have just come across a few papers by Frank Ferrari (in 2000-2002) on this. But, they applied, if I understand correctly, to a few cases with some specific kind of singularities in their moduli space or some higgs field. See his lecture at http://arxiv.org/abs/hep-th/0205171 and references therein.
On a slightly different note...
Question 2: How is the BFSS matrix model (and its derivatives, like the ones mentioned at Good introductory text for matrix string theory) related to the random matrix models of triangulated worldsheets? My understanding is that the former is a nonperturbative formulation of some critical string theories, while the latter is a perturbative formulation of (noncritical only?) string theories. But, what are the similarities and connections between these two applications of random matrix theories?
PS: some references (especially some pedagogical ones) would also be of immense help!