283 citations · 637 across the 17 of their papers we have counts for
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Equating Schur Functions
A. Morozov
We wonder if there is a way to make all Schur functions in all representations equal. This is impossible for fixed value of time variables, but can be achieved for averages. It app…
Integrability and Matrix Models
A. Morozov
A brief review of the eigenvalue matrix model integrability and superintegrability properties, focused on the simplest, still representative, Gaussian Hermitian case.
New Insights into Superintegrability from Unitary Matrix Models
A. Mironov, A. Morozov, Z. Zakirova
Some eigenvalue matrix models possess an interesting property: one can manifestly define the basis where all averages can be explicitly calculated. For example, in the Gaussian Her…
Spin Hurwitz theory and Miwa transform for the Schur Q-functions
A. Mironov, A. Morozov, A. Zhabin
Schur functions are the common eigenfunctions of generalized cut-and-join operators which form a closed algebra. They can be expressed as differential operators in time-variables a…
Superintegrability of matrix Student's distribution
A. Mironov, A. Morozov, A. Popolitov
For ordinary matrix models, the eigenvalue probability density decays rapidly as one goes to infinity, in other words, has "short tails". This ensures that all the multiple trace c…
Non-Abelian W-representation for GKM
A. Mironov, V. Mishnyakov, A. Morozov
-representation is a miraculous possibility to define a non-perturbative (exact) partition function as an exponential action of somehow integrated Ward identities on unity. It i…