Olshanetsky Mikhail Aronovich

Publications in Math-Net.Ru

1. Integrable deformations of principal chiral model from solutions of associative Yang–Baxter equation
   
   Izv. RAN. Ser. Mat., 90:1 (2026),  112–148
2. Families of Kuramoto models and bounded symmetric domains
   
   TMF, 225:1 (2025),  115–137
3. 2D Integrable systems, 4D Chern–Simons theory and affine Higgs bundles
   
   Eur. Phys. J. C, Part. Fields, 82 (2022),  635–14
4. Generalizations of parabolic Higgs bundles, real structures, and integrability
   
   J. Math. Phys., 62:10 (2021), 103502, 28 pp.
5. Integrable extensions of classical elliptic integrable systems
   
   TMF, 208:2 (2021),  245–260
6. Odd supersymmetric Kronecker elliptic function and Yang–Baxter equations
   
   J. Math. Phys., 61 (2020), 103504, 9 pp.
7. Odd supersymmetrization of elliptic $R$-matrices
   
   J. Phys. A, 53:18 (2020), 185202, 16 pp.
8. Generalized Calogero and Toda models
   
   Pis'ma v Zh. Èksper. Teoret. Fiz., 109:2 (2019),  131–138
9. Quasi-compact Higgs bundles and Calogero–Sutherland systems with two types of spins
   
   J. Math. Phys., 59:10 (2018), 103509, 36 pp.
10. Calogero–Sutherland system with two types interacting spins
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 106:3 (2017),  173–174
11. Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation
    
    J. Phys. A, 49:39 (2016), 395202, 26 pp.
12. Yang–Baxter equations with two Planck constants
    
    J. Phys. A, 49:1 (2016), 14003, 19 pp.
13. Geometry of Higgs bundles over elliptic curves related to automorphisms of simple Lie algebras, Calogero–Moser systems, and KZB equations
    
    TMF, 188:2 (2016),  185–222
14. Classical integrable systems and Knizhnik–Zamolodchikov–Bernard equations
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 101:9 (2015),  723–729
15. Quantum Baxter–Belavin $R$-matrices and multidimensional Lax pairs for Painlevé VI
    
    TMF, 184:1 (2015),  41–56
16. Planck constant as spectral parameter in integrable systems and KZB equations
    
    JHEP, 2014, no. 10, 109, 29 pp.
17. Relativistic classical integrable tops and quantum $R$-matrices
    
    JHEP, 2014, no. 7, 012, 39 pp.
18. Classical integrable systems and soliton equations related to eleven-vertex $R$-matrix
    
    Nuclear Phys. B, 887 (2014),  400–422
19. Classification of isomonodromy problems on elliptic curves
    
    Uspekhi Mat. Nauk, 69:1(415) (2014),  39–124
20. Characteristic classes of $\mathrm{SL}(N,\mathbb{C})$-bundles and quantum dynamical elliptic $R$-matrices
    
    J. Phys. A, 46:3 (2013), 35201, 25 pp.
21. Characteristic classes and Hitchin systems. General construction
    
    Comm. Math. Phys., 316:1 (2012),  1–44
22. Calogero–Moser systems for simple Lie groups and characteristic classes of bundles
    
    J. Geom. Phys., 62:8 (2012),  1810–1850
23. Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles
    
    SIGMA, 8 (2012), 095, 37 pp.
24. Monopoles and Modifications of Bundles over Elliptic Curves
    
    SIGMA, 5 (2009), 065, 22 pp.
25. Quadratic algebras related to elliptic curves
    
    TMF, 156:2 (2008),  163–183
26. Elliptic hydrodynamics and quadratic algebras of vector fields on a torus
    
    TMF, 150:3 (2007),  355–370
27. dS–AdS Structures in Noncommutative Minkowski Spaces
    
    TMF, 144:3 (2005),  513–543
28. The large $N$ limits of integrable models
    
    Mosc. Math. J., 3:4 (2003),  1307–1331
29. Unitary Representations of the Quantum Lorentz Group and Quantum Relativistic Toda Chain
    
    TMF, 130:3 (2002),  355–382
30. Solutions of the Periodic Toda Lattice by the Projection and the Algebraic-Geometric Methods
    
    TMF, 128:3 (2001),  461–473
31. Nonautonomous Hamiltonian systems related to higher Hitchin integrals
    
    TMF, 123:2 (2000),  237–263
32. The $q$-Fourier transformation of $q$-generalized functions
    
    Mat. Sb., 190:5 (1999),  93–112
33. $q$-integral representations of modified $q$-Bessel functions and $q$-Macdonald functions
    
    Mat. Sb., 188:8 (1997),  125–148
34. Modified $q$-Bessel functions and $q$-Macdonald functions
    
    Mat. Sb., 187:10 (1996),  109–128
35. Between $\widehat {gl}(\infty )$ and $\widehat {sl}_N$ affine algebras I. Geometrical actions
    
    TMF, 100:1 (1994),  82–96
36. Scattering of clusters in quantum calogero model
    
    TMF, 95:2 (1993),  341–347
37. Quantum-mechanical calculation of the orders of finite simple groups of Lie type
    
    TMF, 82:3 (1990),  366–379
38. Some examples of instantons in sigma models
    
    TMF, 79:2 (1989),  185–197
39. Ricci-flat compactifications in superstring theory and coxeter automorphisms. II
    
    TMF, 77:3 (1988),  352–368
40. Ricci-flat compactifications in superstring theory and Coxeter automorphisms. I
    
    TMF, 77:2 (1988),  212–223
41. Integrable systems. II
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 16 (1987),  86–226
42. Adjoint representations of exceptional Lie algebras
    
    TMF, 72:1 (1987),  3–11
43. Wave functions of quantum integrable systems
    
    TMF, 57:1 (1983),  148–153
44. A short guide to modern geometry for physicists
    
    UFN, 136:3 (1982),  421–433
45. The Toda chain as a reduced system
    
    TMF, 45:1 (1980),  3–18
46. Quantum systems related to root systems, and radial parts of Laplace operators
    
    Funktsional. Anal. i Prilozhen., 12:2 (1978),  57–65
47. Explicit solutions of some completely integrable Hamiltonian systems
    
    Funktsional. Anal. i Prilozhen., 11:1 (1977),  75–76
48. Geodesic flows on symmetric spaces of zero curvature and explicit solution of the generalized calogero model for the classical case
    
    Funktsional. Anal. i Prilozhen., 10:3 (1976),  86–87
49. The asymptotic behavior of spherical functions
    
    Uspekhi Mat. Nauk, 27:3(165) (1972),  211–212
50. Green's functions for the Laplace–Beltrami operator on symmetric spaces
    
    Uspekhi Mat. Nauk, 27:2(164) (1972),  179–180
51. The Martin boundary for the Laplace–Beltrami operator on a Riemannian symmetric space of nonpositive curvature
    
    Uspekhi Mat. Nauk, 24:6(150) (1969),  189–190


52. Igor' Moiseevich Krichever (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 76:4(460) (2021),  183–193
53. Naum Yakovlevich Vilenkin (on his seventieth birthday)
    
    Uspekhi Mat. Nauk, 46:3(279) (1991),  215–217