Spectral theory of the Nazarov-Sklyanin Lax operator
DOI10.3842/sigma.2023.063zbMath1530.05190arXiv2211.01586OpenAlexW4386587747MaRDI QIDQ6056579
Publication date: 30 October 2023
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.01586
Symmetric functions and generalizations (05E05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)
Cites Work
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- Sekiguchi-Debiard operators at infinity
- Macdonald operators at infinity
- A new approach to representation theory of symmetric groups
- Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi.
- Jack polynomials and free cumulants
- Representations of symmetric groups and free probability
- Introduction to large truncated Toeplitz matrices
- Chern classes of tautological sheaves on Hilbert schemes of points on surfaces
- A recursion and a combinatorial formula for Jack polynomials
- Anisotropic Young diagrams and Jack symmetric functions
- Some combinatorial properties of Jack symmetric functions
- On the Benjamin-Ono equation on \(\mathbb{T}\) and its periodic and quasiperiodic solutions
- On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus
- Exact Bohr-Sommerfeld conditions for the quantum periodic Benjamin-Ono equation
- Integrable hierarchy of the quantum Benjamin-Ono equation
- Symplectic field theory of a disk, quantum integrable systems, and Schur polynomials
- Bäcklund Transform and Conservation Laws of the Benjamin-Ono Equation
- Dunkl Operators at Infinity and Calogero–Moser Systems
- Anisotropic Young Diagrams and Infinite-Dimensional Diffusion Processes with the Jack Parameter
- Matrix Analysis
- Yangians and classical Lie algebras
- Hilbert Schemes of Points and Infinite Dimensional Lie Algebras
- On the Integrability of the <scp>Benjamin‐Ono</scp> Equation on the Torus
- ON THE CROSSROADS OF ENUMERATIVE GEOMETRY AND GEOMETRIC REPRESENTATION THEORY
- Finite gap conditions and small dispersion asymptotics for the classical periodic Benjamin–Ono equation
- Cherednik Operators and Ruijsenaars–Schneider Model at Infinity
- Jack–Laurent symmetric functions
- On Kerov polynomials for Jack characters
- Gaussian Asymptotics of Jack Measures on Partitions From Weighted Enumeration of Ribbon Paths
- Khovanov's Heisenberg category, moments in free probability, and shifted symmetric functions
- Zero-dispersion limit for the Benjamin-Ono equation on the torus with bell shaped initial data
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