65 citations · 527 across the 30 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
nlin.SI2021★ 1 cited
Folding transformations for q-Painleve equations
M. Bershtein, A. Shchechkin
Folding transformation of the Painlevé equations is an algebraic (of degree greater than 1) transformation between solutions of different equations. In 2005 Tsuda, Okamoto and Saka…
math.QA2021
Twisted Fock module of toroidal algebra via DAHA and vertex operators
Mikhail Bershtein, Roman Gonin
We construct the twisted Fock module of quantum toroidal algebra with a slope using vertex operators of quantum affine . The proof is base…
math-ph2021★ 15 cited
Quantum spectral problems and isomonodromic deformations
Mikhail Bershtein, Pavlo Gavrylenko, Alba Grassi
We develop a self-consistent approach to study the spectral properties of a class of quantum mechanical operators by using the knowledge about monodromies of linear sys…