47 citations
- Skolkovo Institute of Science and TechnologyRU8 papers
- Institute for Information Transmission ProblemsRU5 papers
- Institute for Theoretical and Experimental PhysicsRU5 papers
- P.N. Lebedev Physical Institute of the Russian Academy of SciencesRU5 papers
- Concordia UniversityCA4 papers
- Kurchatov InstituteRU4 papers
- National Research University Higher School of EconomicsRU4 papers
- Université de MontréalCA4 papers
- Centre de recherches mathématiquesCA3 papers
- University of ArizonaUS3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Institute of Automation and ElectrometryRU2 papers
29 papers
Tau functions of the UC hierarchy as partition functions of matrix models
Chuanzhong Li, Andrei Mironov, Alexander Yu. Orlov
We present a family of matrix models such that their partition functions are tau functions of the universal character (UC) hierarchy. This develops one of the topics of our previou…
Hopf link invariants and integrable hierarchies
Chuanzhong Li, A. Mironov, A. Yu. Orlov
The goal of this note is to study integrable properties of a generating function of the HOMFLY-PT invariants of the Hopf link colored with different representations. We demonstrate…
Bilinear Expansions of KP Multipair Correlators in BKP Correlators
Aleksandr Yu. Orlov
I present a generalization of our joint works with John Harnad (2021) that relates Schur functions, KP tau functions and KP correlation functions to Schur's -functions, BKP tau…
Sigma model instantons and singular tau function
E. N. Antonov, A. Yu. Orlov
The generating series for the instanton contribution to Green functions of the sigma model was found in the works of Schwarz, Fateev and Frolov. We show that this series can b…
Bound-state soliton gas as a limit of adiabatically growing integrable turbulence
D. S. Agafontsev, A. A. Gelash, R. I. Mullyadzhanov +1
We study numerically the integrable turbulence in the framework of the one-dimensional nonlinear Schrodinger equation (1D-NLSE) of the focusing type using a new approach called the…
Effects of finite non-gaussianity on evolution of a random wind wave field
S. Y. Annenkov, V. I. Shrira
We examine long-term evolution of a random wind wave field generated by constant forcing, by comparing numerical simulations of the kinetic equation and direct numerical simulation…