3 papers
quant-ph2025
Classifying fermionic states via many-body correlation measures
Mykola Semenyakin, Yevheniia Cheipesh, Yaroslav Herasymenko
Understanding the structure of quantum correlations in a many-body system is key to its computational treatment. For fermionic systems, correlations can be defined as deviations fr…
math.QA2024
A brief introduction to quantum groups
Pavel Etingof, Mykola Semenyakin
These are lecture notes of a mini-course given by the first author in Moscow in July 2019, taken by the second author and then edited and expanded by the first author. They were al…
nlin.SI2024
Cluster Reductions, Mutations, and -Painlevé Equations
Mikhail Bershtein, Pavlo Gavrylenko, Andrei Marshakov +1
We propose an extension of the Goncharov-Kenyon class of cluster integrable systems by their Hamiltonian reductions. This extension allows us to fill in the gap in cluster construc…