14 citations · 19 across the 6 of their papers we have counts for
6 papers
Polygon gluing and commuting bosonic operators
A. Yu. Orlov
We construct two series of commuting Hamiltonians parametrized by a constant matrix. The first series was my guess and the second one was know, and in our approach follows from the…
Calogero model revisited, commuting Hamiltonians, Hurwitz numbers
A. Yu. Orlov
The generalized Mironov-Morozov-Natanson (MMN) equation includes a set of commuting operators, which can be considered as Hamiltonians for the quantum Calogero-Sutherland problem w…
On Products of Random Matrices
Natalia Amburg, Aleksandr Yu. Orlov, Dmitry Vasiliev
We introduce a family of models, which we name matrix models associated with children's drawings -- the so-called dessin d'enfant. Dessins d'enfant are graphs of a special kind dra…
Links between quantum chaos and counting problems
A. Yu. Orlov
We show that Hurwitz numbers may be generated by certain correlation functions which appear in quantum chaos.
Matrix integrals and Hurwitz numbers
A. Yu. Orlov
We study multi-matrix models which may be viewed as integrals of products of tau functions which depend on the eigenvalues of products of random matrices. In the present paper we c…
Trigonometric Calogero-Moser System as a Symmetry Reduction of KP Hierarchy
L. V. Bogdanov, B. G. Konopelchenko, A. Yu. Orlov
Trigonometric non-isospectral flows are defined for KP hierarchy. It is demonstrated that symmetry constraints of KP hierarchy associated with these flows give rise to trigonometri…