45 citations · 52 across the 5 of their papers we have counts for
6 papers
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.…
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 matr…
flows and multi-component hierarchy (KP case)
A. Yu. Orlov
We show that abelian subalgebras of generalized () algebra gives rise to the multicomponent KP flows. The matrix elements of the related group element…
Hurwitz numbers and matrix integrals labeled with chord diagrams
A. Yu. Orlov
We shall consider the product of complex random matrices from the independent complex Ginibre ensembles. The product includes complex matrices $Z_i, Z_i^\dagger, \, i = 1, \ldots,…
Deformed Ginibre ensembles and integrable systems
Alexander Orlov
We consider three Ginibre ensembles (real, complex and quaternion-real) with a deformed measure and relate them to the known integrable systems via presenting partition functions o…
Schur function expansion for normal matrix model and associated discrete matrix models
A. Yu. Orlov, T. Shiota
We consider Schur function expansion for the partition function of the model of normal matrices. We show that this expansion coincides with Takasaki expansion \cite{Tinit} for tau…