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Bipartite graphs and eigenvalue problems

A. Yu. Orlov

P. P. Shirshov Institute of Oceanology, Russian Academy of Sciences



Abstract: I will tell you how to build matrix models using graphs on a Riemann surface and how various identities with differential operators are obtained from them. In particular, we obtain the Mironov-Morozov-Natanzon cut-and-join equation, which describes the merging of branching points. (À section in joint work with S.M.Natanzon, TMP 2020)

Language: English


© Steklov Math. Inst. of RAS, 2024