Zabrodin Anton Vladimirovich

Publications in Math-Net.Ru

1. Multi-component Toda lattice hierarchy
   
   Uspekhi Mat. Nauk, 80:4(484) (2025),  47–120
2. Elliptic Cauchy matrices
   
   Funktsional. Anal. i Prilozhen., 58:3 (2024),  77–88
3. Monodromy free linear equations and many-body systems
   
   Lett. Math. Phys., 113 (2023),  75–36
4. On integrability of the deformed Ruijsenaars–Schneider system
   
   Uspekhi Mat. Nauk, 78:2(470) (2023),  149–188
5. Tau-function of the B-Toda hierarchy
   
   TMF, 217:2 (2023),  299–316
6. Dyson diffusion on a curved contour
   
   TMF, 216:2 (2023),  226–233
7. Field analogue of the Ruijsenaars–Schneider model
   
   JHEP, 2022:7 (2022), 023, 51 pp.
8. Dispersionless version of the constrained Toda hierarchy and symmetric radial Löwner equation
   
   Lett. Math. Phys., 112 (2022),  105–25
9. Elliptic families of solutions of the constrained Toda hierarchy
   
   TMF, 213:1 (2022),  57–64
10. How Calogero–Moser particles can stick together
    
    J. Phys. A, 54:22 (2021), 225201, 7 pp.
11. Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars–Schneider model
    
    TMF, 208:2 (2021),  282–309
12. Kadomtsev–Petviashvili hierarchies of types B and C
    
    TMF, 208:1 (2021),  15–38
13. Scalar products of Bethe vectors in the 8-vertex model
    
    JHEP, 2020:6 (2020), 123, 53 pp.
14. Quantum-classical correspondence for gl(1|1) supersymmetric Gaudin magnet with boundary
    
    J. Phys. A, 53:49 (2020), 494002, 20 pp.
15. Quantum-classical duality for Gaudin magnets with boundary
    
    Nuclear Phys. B, 952 (2020),  114931–20
16. Matrix Kadomtsev–Petviashvili Hierarchy and Spin Generalization of Trigonometric Calogero–Moser Hierarchy
    
    Trudy Mat. Inst. Steklova, 309 (2020),  241–256
17. Elliptic solutions of the semidiscrete B-version of the Kadomtsev–Petviashvili equation
    
    TMF, 204:3 (2020),  445–452
18. Elliptic solutions to integrable nonlinear equations and many-body systems
    
    J. Geom. Phys., 146 (2019),  103506–26
19. Supersymmetric extension of qKZ-Ruijsenaars correspondence
    
    Nuclear Phys. B, 939 (2019),  174–190
20. Matrix modified Kadomtsev–Petviashvili hierarchy
    
    TMF, 199:3 (2019),  343–356
21. Self–dual form of Ruijsenaars–Schneider models and ILW equation with discrete Laplacian
    
    Nuclear Phys. B, 927 (2018),  550–565
22. KZ-Calogero correspondence revisited
    
    J. Phys. A, 50 (2017), 205202, 12 pp.
23. QKZ–Ruijsenaars correspondence revisited
    
    Nuclear Phys. B, 922 (2017),  113–125
24. Asymmetric six-vertex model and the classical Ruijsenaars–Schneider system of particles
    
    TMF, 192:2 (2017),  235–249
25. Trigonometric version of quantum–classical duality in integrable systems
    
    Nuclear Phys. B, 903 (2016),  150–163
26. Classical-quantum correspondence and functional relations for Painlevé equations
    
    Constr. Approx., 41:3 (2015),  385–423
27. Supersymmetric quantum spin chains and classical integrable systems
    
    JHEP, 2015, no. 5, 086, 43 pp.
28. Elliptic parameterization of Pfaff integrable hierarchies in the zero-dispersion limit
    
    TMF, 185:3 (2015),  410–422
29. Spectrum of quantum transfer matrices via classical many-body systems
    
    JHEP, 2014, no. 1, 070, 28 pp.
30. The Master $T$-Operator for Inhomogeneous $XXX$ Spin Chain and mKP Hierarchy
    
    SIGMA, 10 (2014), 006, 18 pp.
31. The master $T$-operator for vertex models with trigonometric $R$-matrices as a classical $\tau$-function
    
    TMF, 174:1 (2013),  59–76
32. Quantum Painlevé–Calogero correspondence for Painlevé VI
    
    J. Math. Phys., 53:7 (2012), 73508, 19 pp.
33. Quantum Painlevé–Calogero correspondence
    
    J. Math. Phys., 53:7 (2012), 73507, 19 pp.
34. Self-similar solutions of the Laplacian growth problem in the half-plane
    
    TMF, 166:1 (2011),  28–43
35. Bäcklund transformations for the difference Hirota equation and the supersymmetric Bethe ansatz
    
    TMF, 155:1 (2008),  74–93
36. Whitham hierarchy in growth problems
    
    TMF, 142:2 (2005),  197–217
37. Computational construction of the microtargets on the basis of realization of shockless compression conception
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 9:2 (2003),  41–54
38. Dispersionless Limit of Hirota Equations in Some Problems of Complex Analysis
    
    TMF, 129:2 (2001),  239–257
39. Hidden quantum $R$-matrix in the discrete-time classical Heisenberg magnet
    
    TMF, 125:2 (2000),  179–204
40. Hirota equation and Bethe ansatz
    
    TMF, 116:1 (1998),  54–100
41. A survey of Hirota's difference equations
    
    TMF, 113:2 (1997),  179–230
42. Spin generalization of the Ruijsenaars–Schneider model, the non-Abelian Toda chain, and representations of the Sklyanin algebra
    
    Uspekhi Mat. Nauk, 50:6(306) (1995),  3–56
43. Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems
    
    TMF, 104:1 (1995),  8–24
44. Single-particle density matrix of a one-dimensional system of spin 1/2 Fermi particles
    
    TMF, 85:3 (1990),  443–449
45. Fermions on a Riemann surface and the Kadomtsev–Petviashvili equation
    
    TMF, 78:2 (1989),  234–247
46. On the irreducible part of the current correlation function in quantum completely integrable models
    
    TMF, 71:2 (1987),  208–217
47. Feynman's variational principle for a polaron in a magnetic field
    
    TMF, 62:2 (1985),  304–311


48. Igor' Moiseevich Krichever (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 76:4(460) (2021),  183–193