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math-ph2025
Products of random Hermitian matrices and brickwork Hurwitz numbers. Products of normal matrices
Ch. Li, A. Yu. Orlov
We consider products of random Hermitian matrices which generalize the one-matrix model and show its relation to Hurwitz numbers which count ramified coverings of certain type.…
math-ph2025
SU(N) integrals and tau functions
A. Yu. Orlov
We present a family of solvable multi-matrix models associated with an arbitrary embedded graph with a single vertex. The graph with edges is equipped with corner mat…