M. Olshanetsky, “Elliptic hydrodynamics and quadratic algebra of vector fields on a torus”, Theor. Math. Phys., 150 (2007), 355–370
Yu. Chernyakov, A. M. Levin, M. Olshanetsky, A. Zotov, “Elliptic Schlesinger system and Painlevé VI”, Journ. Physics A, 39 (2006), 12083–120102
A. Levin, M. Olshanetsky, A. Zotov, “Painleve VI”, Rigid Tops and Reflection Equation, 268 (2006), 67–103
M. Olshanetsky, “Universality of Calogero-Moser model”, J. Nonlin. Math. Phys., 12 (2005), 522–534
A. Levin, M. Olshanetsky, A. Zotov, “Hitchin Systems - Symplectic Hecke Correspondence and Two-dimensional Version”, Comm. Math. Phys., 236 (2003), 93–133
D. A. Domanevsky, A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Integrable deformations of principal chiral model from solutions of associative Yang–Baxter equation”, Izv. RAN. Ser. Mat., 90:1 (2026), 112–148
2025
2.
M. A. Olshanetsky, “Families of Kuramoto models and bounded symmetric domains”, TMF, 225:1 (2025), 115–137; Theoret. and Math. Phys., 225:1 (2025), 1791–1810
2022
3.
A. Levin, M. Olshanetsky, A. Zotov, “2D Integrable systems, 4D Chern–Simons theory and affine Higgs bundles”, Eur. Phys. J. C, Part. Fields, 82 (2022), 635–14
A. Levin, M. Olshanetsky, A. Zotov, “Generalizations of parabolic Higgs bundles, real structures, and integrability”, J. Math. Phys., 62:10 (2021), 103502, 28 pp.
M. A. Olshanetsky, “Integrable extensions of classical elliptic integrable systems”, TMF, 208:2 (2021), 245–260; Theoret. and Math. Phys., 208:2 (2021), 1061–1074
2020
6.
A. Levin, M. Olshanetsky, A. Zotov, “Odd supersymmetric Kronecker elliptic function and Yang–Baxter equations”, J. Math. Phys., 61 (2020), 103504, 9 pp.
7.
A. Levin, M. Olshanetsky, A. Zotov, “Odd supersymmetrization of elliptic $R$-matrices”, J. Phys. A, 53:18 (2020), 185202, 16 pp.
Yu. Chernyakov, S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, “Generalized Calogero and Toda models”, Pis'ma v Zh. Èksper. Teoret. Fiz., 109:2 (2019), 131–138; JETP Letters, 109:2 (2019), 136–143
2018
9.
S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, “Quasi-compact Higgs bundles and Calogero–Sutherland systems with two types of spins”, J. Math. Phys., 59:10 (2018), 103509, 36 pp.
S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, “Calogero–Sutherland system with two types interacting spins”, Pis'ma v Zh. Èksper. Teoret. Fiz., 106:3 (2017), 173–174; JETP Letters, 106:3 (2017), 179–183
Andrey Levin, Mikhail Olshanetsky, Andrei Zotov, “Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation”, J. Phys. A, 49:39 (2016), 395202, 26 pp.
A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “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; Theoret. and Math. Phys., 188:2 (2016), 1121–1154
2015
14.
G. Aminov, A. Levin, M. Olshanetsky, A. Zotov, “Classical integrable systems and Knizhnik–Zamolodchikov–Bernard equations”, Pis'ma v Zh. Èksper. Teoret. Fiz., 101:9 (2015), 723–729; JETP Letters, 101:9 (2015), 648–655
15.
A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Quantum Baxter–Belavin $R$-matrices and multidimensional Lax pairs for Painlevé VI”, TMF, 184:1 (2015), 41–56; Theoret. and Math. Phys., 184:1 (2015), 924–939
A. Levin, M. Olshanetsky, A. Zotov, “Classical integrable systems and soliton equations related to eleven-vertex $R$-matrix”, Nuclear Phys. B, 887 (2014), 400–422
A. M. Levin, M. A. Olshanetsky, A. V. Zotov, “Classification of isomonodromy problems on elliptic curves”, Uspekhi Mat. Nauk, 69:1(415) (2014), 39–124; Russian Math. Surveys, 69:1 (2014), 35–118
A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Characteristic classes of $\mathrm{SL}(N,\mathbb{C})$-bundles and quantum dynamical elliptic $R$-matrices”, J. Phys. A, 46:3 (2013), 35201, 25 pp.
A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Characteristic classes and Hitchin systems. General construction”, Comm. Math. Phys., 316:1 (2012), 1–44
A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Calogero–Moser systems for simple Lie groups and characteristic classes of bundles”, J. Geom. Phys., 62:8 (2012), 1810–1850
Andrey M. Levin, Mikhail A. Olshanetsky, Andrey V. Smirnov, Andrei V. Zotov, “Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles”, SIGMA, 8 (2012), 095, 37 pp.
A. V. Zotov, A. M. Levin, M. A. Olshanetsky, Yu. B. Chernyakov, “Quadratic algebras related to elliptic curves”, TMF, 156:2 (2008), 163–183; Theoret. and Math. Phys., 156:2 (2008), 1103–1122
M. A. Olshanetsky, “Elliptic hydrodynamics and quadratic algebras of vector fields on a torus”, TMF, 150:3 (2007), 355–370; Theoret. and Math. Phys., 150:3 (2007), 301–314
M. A. Olshanetsky, V.-B. K. Rogov, “dS–AdS Structures in Noncommutative Minkowski Spaces”, TMF, 144:3 (2005), 513–543; Theoret. and Math. Phys., 144:3 (2005), 1315–1343
2003
28.
M. A. Olshanetsky, “The large $N$ limits of integrable models”, Mosc. Math. J., 3:4 (2003), 1307–1331
M. A. Olshanetsky, V.-B. K. Rogov, “Unitary Representations of the Quantum Lorentz Group and Quantum Relativistic Toda Chain”, TMF, 130:3 (2002), 355–382; Theoret. and Math. Phys., 130:3 (2002), 299–322
M. A. Olshanetsky, “Solutions of the Periodic Toda Lattice by the Projection and the Algebraic-Geometric Methods”, TMF, 128:3 (2001), 461–473; Theoret. and Math. Phys., 128:3 (2001), 1225–1235
A. M. Levin, M. A. Olshanetsky, “Nonautonomous Hamiltonian systems related to higher Hitchin integrals”, TMF, 123:2 (2000), 237–263; Theoret. and Math. Phys., 123:2 (2000), 609–632
M. A. Olshanetsky, V.-B. K. Rogov, “The $q$-Fourier transformation of $q$-generalized functions”, Mat. Sb., 190:5 (1999), 93–112; Sb. Math., 190:5 (1999), 717–735
M. A. Olshanetsky, V.-B. K. Rogov, “$q$-integral representations of modified $q$-Bessel functions and $q$-Macdonald functions”, Mat. Sb., 188:8 (1997), 125–148; Sb. Math., 188:8 (1997), 1235–1258
M. A. Olshanetsky, V.-B. K. Rogov, “Modified $q$-Bessel functions and $q$-Macdonald functions”, Mat. Sb., 187:10 (1996), 109–128; Sb. Math., 187:10 (1996), 1525–1544
M. I. Golenishcheva-Kutuzova, D. R. Lebedev, M. A. Olshanetsky, “Between $\widehat {gl}(\infty )$ and $\widehat {sl}_N$ affine algebras I. Geometrical actions”, TMF, 100:1 (1994), 82–96; Theoret. and Math. Phys., 100:1 (1994), 863–873
M. A. Olshanetsky, “Quantum-mechanical calculation of the orders of finite simple groups of Lie type”, TMF, 82:3 (1990), 366–379; Theoret. and Math. Phys., 82:3 (1990), 256–266
Ya. I. Kogan, D. G. Markushevich, A. Yu. Morozov, M. A. Olshanetsky, A. M. Perelomov, A. A. Roslyi, “Some examples of instantons in sigma models”, TMF, 79:2 (1989), 185–197; Theoret. and Math. Phys., 79:2 (1989), 470–478
1988
39.
D. G. Markushevich, M. A. Olshanetsky, A. M. Perelomov, “Ricci-flat compactifications in superstring theory and coxeter automorphisms. II”, TMF, 77:3 (1988), 352–368; Theoret. and Math. Phys., 77:3 (1988), 1247–1259
40.
D. G. Markushevich, M. A. Olshanetsky, A. M. Perelomov, “Ricci-flat compactifications in superstring theory and Coxeter automorphisms. I”, TMF, 77:2 (1988), 212–223; Theoret. and Math. Phys., 77:2 (1988), 1152–1160
M. A. Olshanetsky, A. M. Perelomov, A. G. Reiman, M. A. Semenov-Tian-Shansky, “Integrable systems. II”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 16 (1987), 86–226
M. A. Olshanetsky, V.-B. K. Rogov, “Adjoint representations of exceptional Lie algebras”, TMF, 72:1 (1987), 3–11; Theoret. and Math. Phys., 72:1 (1987), 679–685
1983
43.
M. A. Olshanetsky, “Wave functions of quantum integrable systems”, TMF, 57:1 (1983), 148–153; Theoret. and Math. Phys., 57:1 (1983), 1048–1052
M. A. Olshanetsky, A. M. Perelomov, “Quantum systems related to root systems, and radial parts of Laplace operators”, Funktsional. Anal. i Prilozhen., 12:2 (1978), 57–65; Funct. Anal. Appl., 12:2 (1978), 121–128
M. A. Olshanetsky, A. M. Perelomov, “Explicit solutions of some completely integrable Hamiltonian systems”, Funktsional. Anal. i Prilozhen., 11:1 (1977), 75–76; Funct. Anal. Appl., 11:1 (1977), 66–68
M. A. Olshanetsky, A. M. Perelomov, “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; Funct. Anal. Appl., 10:3 (1976), 237–239
M. A. Olshanetsky, “Green's functions for the Laplace–Beltrami operator on symmetric spaces”, Uspekhi Mat. Nauk, 27:2(164) (1972), 179–180
1969
51.
M. A. Olshanetsky, “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
2021
52.
V. M. Buchstaber, A. N. Varchenko, A. P. Veselov, P. G. Grinevich, S. Grushevsky, S. Yu. Dobrokhotov, A. V. Zabrodin, A. V. Marshakov, A. E. Mironov, N. A. Nekrasov, S. P. Novikov, A. Yu. Okounkov, M. A. Olshanetsky, A. K. Pogrebkov, I. A. Taimanov, M. A. Tsfasman, L. O. Chekhov, O. K. Sheinman, S. B. Shlosman, “Igor' Moiseevich Krichever (on his 70th birthday)”, Uspekhi Mat. Nauk, 76:4(460) (2021), 183–193; Russian Math. Surveys, 76:4 (2021), 733–743
F. I. Karpelevich, A. U. Klimyk, L. M. Koganov, M. A. Olshanetsky, V.-B. K. Rogov, A. I. Rubinshtein, Ya. A. Smorodinskii, “Naum Yakovlevich Vilenkin (on his seventieth birthday)”, Uspekhi Mat. Nauk, 46:3(279) (1991), 215–217; Russian Math. Surveys, 46:3 (1991), 251–254
Presentations in Math-Net.Ru
1.
Classical 2d Integrable Systems and Gauge Theories M. A. Olshanetsky International Conference «Quantum Integrability and Geometry» Dedicated to 60th Anniversaries of N. A. Slavnov and L. O. Chekhov June 2, 2022 17:00
Characteristic classes and Higgs bundles M. A. Olshanetsky, A. M. Levin International conference "ALGEBRAIC GEOMETRY: Methods, Relations, and Applications" dedicated to the 70th birthday anniversary of Andrei Nikolaevich Tyurin February 26, 2010 10:30
4.
Инстантоны и интегрируемые системы M. A. Olshanetsky Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS April 18, 2007 14:00
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