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math-ph2011★ 11 cited
Loop equations and topological recursion for the arbitrary- two-matrix model
Michel Bergère, Bertrand Eynard, Olivier Marchal +1
We write the loop equations for the two-matrix model, and we propose a topological recursion algorithm to solve them, order by order in a small parameter. We find that to leadi…
math-ph2011★ 4 cited
One-cut solution of the -ensembles in the Zhukovsky variable
Olivier Marchal
In this article, we study in detail the modified topological recursion of the one matrix model for arbitrary in the one cut case. We show that for polynomial potentials, the re…