477 citations · 6.9k across the 163 of their papers we have counts for
162 papers
Summing up perturbation series around superintegrable point
A. Mironov, A. Morozov, A. Popolitov +1
We work out explicit formulas for correlators in the Gaussian matrix model perturbed by a logarithmic potential, i.e. by inserting Miwa variables. In this paper, we concentrate on…
Tau-functions beyond the group elements
A. Mironov, V. Mishnyakov, A. Morozov
Matrix elements in different representations are connected by quadratic relations. If matrix elements are those of a , i.e. satisfying the property $Δ(X) =…
On the status of DELL systems
A. Mironov, A. Morozov
A detailed review of the -duality for Calogero system and its generalizations is given. For the first time, we present some of elliptic-trigonometric Hamiltonians dual to the…
Commutative subalgebras from Serre relations
A. Mironov, V. Mishnyakov, A. Morozov +1
We demonstrate that commutativity of numerous one-dimensional subalgebras in algebra, i.e. the existence of many non-trivial integrable systems described in recent a…
Commutative families in , integrable many-body systems and hypergeometric -functions
A. Mironov, V. Mishnyakov, A. Morozov +1
We explain that the set of new integrable systems generalizing the Calogero family and implied by the study of WLZZ models, which was described in arXiv:2303.05273, is only the tip…
Many-body integrable systems implied by WLZZ models
A. Mironov, A. Morozov
We provide some details about the recently discovered integrable systems implied by commutativity of operators along the rays on the plane of roots of -algebra. The s…