40 citations · 217 across the 32 of their papers we have counts for
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Miwa deformation of WLZZ matrix models
T. Diudin, A. Popolitov
In this paper we propose a universal way to define multivariate orthogonal polynomials for the positive branch of WLZZ matrix models. This allows us to generalize from the Gaussian…
Non-symmetric triads and Baker-Akhiezer functions
A. Mironov, A. Morozov, A. Popolitov
The symmetric Macdonald polynomial at peculiar values of parameter , is naturally split into non-symmetric parts, which are the (quasi)polynomial…
Cherednik integrable system: eigenfunctions at generic eigenvalues
A. Mironov, A. Morozov, A. Popolitov
Symmetric Macdonald polynomials of variables provide eigenfunctions of the -body trigonometric Ruijsenaars-Schneider integrable system at particular eigenvalues. In order to…
Integrable systems inspired by DAHA and DIM algebra: type versus type
L. Bishler, A. Mironov, A. Popolitov
The Ding-Iohara-Miki (DIM) algebra (quantum toroidal algebra of ) is related to a wide class of quantum many-particle integrable systems, a typical one being the Ru…
Nested ansatz method for Baker-Akhiezer functions
A. Mironov, A. Morozov, A. Popolitov
We explain that the logic behind the derivation of the Noumi-Shiraishi function can be applied directly to the Baker-Akhiezer function (BAF). This amounts to changing an ansatz for…
Twisted Cherednik systems and non-symmetric Macdonald polynomials
A. Mironov, A. Morozov, A. Popolitov
We consider eigenfunctions of many-body system Hamiltonians associated with generalized (a-twisted) Cherednik operators used in construction of other Hamiltonians: those arising fr…