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Olshanetsky, Mikhail Aronovich

Statistics Math-Net.Ru
Total publications: 51
Scientific articles: 49
Presentations: 4

Number of views:
This page:4433
Abstract pages:20170
Full texts:7579
References:2080
Doctor of physico-mathematical sciences (1983)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 27.08.1938
E-mail: ,
Website: https://wwwth.itep.ru
Keywords: integrable systems, Hitchin systems, representation theory.
UDC: 517.58

Subject:

Integrable systems.

   
Main publications:
  1. M. Olshanetsky, “Elliptic hydrodynamics and quadratic algebra of vector fields on a torus”, Theor. Math. Phys., 150 (2007), 355–370  crossref  mathscinet  zmath
  2. Yu. Chernyakov, A. M. Levin, M. Olshanetsky, A. Zotov, “Elliptic Schlesinger system and Painlevé VI”, Journ. Physics A, 39 (2006), 12083–120102  crossref  mathscinet
  3. A. Levin, M. Olshanetsky, A. Zotov, “Painleve VI”, Rigid Tops and Reflection Equation, 268 (2006), 67–103  mathscinet  zmath
  4. M. Olshanetsky, “Universality of Calogero-Moser model”, J. Nonlin. Math. Phys., 12 (2005), 522–534  crossref  mathscinet
  5. A. Levin, M. Olshanetsky, A. Zotov, “Hitchin Systems - Symplectic Hecke Correspondence and Two-dimensional Version”, Comm. Math. Phys., 236 (2003), 93–133  crossref  mathscinet  zmath  adsnasa

https://www.mathnet.ru/eng/person8471
List of publications on Google Scholar
https://zbmath.org/authors/ai:olshanetsky.mikhail-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/189814

Publications in Math-Net.Ru Citations
2022
1. 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  mathnet 5
2021
2. A. Levin, M. Olshanetsky, A. Zotov, “Generalizations of parabolic Higgs bundles, real structures, and integrability”, J. Math. Phys., 62:10 (2021), 103502, 28 pp.  mathnet  isi  scopus 1
3. M. A. Olshanetsky, “Integrable extensions of classical elliptic integrable systems”, TMF, 208:2 (2021),  245–260  mathnet  elib; Theoret. and Math. Phys., 208:2 (2021), 1061–1074  isi  scopus
2020
4. A. Levin, M. Olshanetsky, A. Zotov, “Odd supersymmetric Kronecker elliptic function and Yang–Baxter equations”, J. Math. Phys., 61 (2020), 103504, 9 pp.  mathnet  mathscinet  isi  scopus
5. A. Levin, M. Olshanetsky, A. Zotov, “Odd supersymmetrization of elliptic $R$-matrices”, J. Phys. A, 53:18 (2020), 185202, 16 pp.  mathnet  mathscinet  isi  scopus 1
2019
6. 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  mathnet  elib; JETP Letters, 109:2 (2019), 136–143  isi  scopus
2018
7. 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.  mathnet  mathscinet  isi  scopus 11
2017
8. 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  mathnet  elib; JETP Letters, 106:3 (2017), 179–183  isi  scopus 6
2016
9. 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.  mathnet  mathscinet  isi  elib  scopus 12
10. A. Levin, M. Olshanetsky, A. Zotov, “Yang–Baxter equations with two Planck constants”, J. Phys. A, 49:1 (2016), 14003, 19 pp.  mathnet  mathscinet  zmath  isi  scopus 7
11. 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  mathnet  mathscinet  elib; Theoret. and Math. Phys., 188:2 (2016), 1121–1154  isi  elib  scopus
2015
12. 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  mathnet  elib; JETP Letters, 101:9 (2015), 648–655  isi  scopus
13. 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  mathnet  mathscinet  elib; Theoret. and Math. Phys., 184:1 (2015), 924–939  isi  elib  scopus 19
2014
14. A. Levin, M. Olshanetsky, A. Zotov, “Planck constant as spectral parameter in integrable systems and KZB equations”, JHEP, 2014, no. 10, 109, 29 pp.  mathnet  mathscinet  zmath  isi  elib  scopus 22
15. A. Levin, M. Olshanetsky, A. Zotov, “Relativistic classical integrable tops and quantum $R$-matrices”, JHEP, 2014, no. 7, 012, 39 pp.  mathnet  isi  scopus 30
16. 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  mathnet  mathscinet  zmath  isi  scopus 20
17. 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  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:1 (2014), 35–118  isi  elib  scopus 18
2013
18. 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.  mathnet  mathscinet  zmath  isi  scopus 17
2012
19. A.  Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Characteristic classes and Hitchin systems. General construction”, Comm. Math. Phys., 316:1 (2012),  1–44  mathnet  mathscinet  zmath  isi  scopus 18
20. 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  mathnet  mathscinet  zmath  isi  scopus 18
21. 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.  mathnet  mathscinet  isi  scopus 10
2009
22. Andrey M. Levin, Mikhail A. Olshanetsky, Andrei V. Zotov, “Monopoles and Modifications of Bundles over Elliptic Curves”, SIGMA, 5 (2009), 065, 22 pp.  mathnet  mathscinet  isi  scopus 9
2008
23. A. V. Zotov, A. M. Levin, M. A. Olshanetsky, Yu. B. Chernyakov, “Quadratic algebras related to elliptic curves”, TMF, 156:2 (2008),  163–183  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 156:2 (2008), 1103–1122  isi  scopus 16
2007
24. M. A. Olshanetsky, “Elliptic hydrodynamics and quadratic algebras of vector fields on a torus”, TMF, 150:3 (2007),  355–370  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 150:3 (2007), 301–314  isi  elib  scopus 1
2005
25. M. A. Olshanetsky, V.-B. K. Rogov, “dS–AdS Structures in Noncommutative Minkowski Spaces”, TMF, 144:3 (2005),  513–543  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 144:3 (2005), 1315–1343  isi
2003
26. M. A. Olshanetsky, “The large $N$ limits of integrable models”, Mosc. Math. J., 3:4 (2003),  1307–1331  mathnet  mathscinet  zmath  isi 3
2002
27. 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  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 130:3 (2002), 299–322  isi 7
2001
28. M. A. Olshanetsky, “Solutions of the Periodic Toda Lattice by the Projection and the Algebraic-Geometric Methods”, TMF, 128:3 (2001),  461–473  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 128:3 (2001), 1225–1235  isi
2000
29. A. M. Levin, M. A. Olshanetsky, “Nonautonomous Hamiltonian systems related to higher Hitchin integrals”, TMF, 123:2 (2000),  237–263  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 123:2 (2000), 609–632  isi 3
1999
30. M. A. Olshanetsky, V.-B. K. Rogov, “The $q$-Fourier transformation of $q$-generalized functions”, Mat. Sb., 190:5 (1999),  93–112  mathnet  mathscinet  zmath; Sb. Math., 190:5 (1999), 717–735  isi  scopus 5
1997
31. 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  mathnet  mathscinet  zmath  elib; Sb. Math., 188:8 (1997), 1235–1258  isi  scopus 2
1996
32. M. A. Olshanetsky, V.-B. K. Rogov, “Modified $q$-Bessel functions and $q$-Macdonald functions”, Mat. Sb., 187:10 (1996),  109–128  mathnet  mathscinet  zmath; Sb. Math., 187:10 (1996), 1525–1544  isi  scopus 7
1994
33. 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  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 100:1 (1994), 863–873  isi 2
1993
34. M. A. Olshanetsky, “Scattering of clusters in quantum calogero model”, TMF, 95:2 (1993),  341–347  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 95:2 (1993), 626–631  isi 2
1990
35. M. A. Olshanetsky, “Quantum-mechanical calculation of the orders of finite simple groups of Lie type”, TMF, 82:3 (1990),  366–379  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 82:3 (1990), 256–266  isi 2
1989
36. 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  mathnet  mathscinet; Theoret. and Math. Phys., 79:2 (1989), 470–478  isi
1988
37. 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  mathnet  mathscinet; Theoret. and Math. Phys., 77:3 (1988), 1247–1259  isi
38. 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  mathnet  mathscinet; Theoret. and Math. Phys., 77:2 (1988), 1152–1160  isi 1
1987
39. 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  mathnet  mathscinet  zmath 30
40. M. A. Olshanetsky, V.-B. K. Rogov, “Adjoint representations of exceptional Lie algebras”, TMF, 72:1 (1987),  3–11  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 72:1 (1987), 679–685  isi
1983
41. M. A. Olshanetsky, “Wave functions of quantum integrable systems”, TMF, 57:1 (1983),  148–153  mathnet  mathscinet; Theoret. and Math. Phys., 57:1 (1983), 1048–1052  isi 1
1982
42. M. A. Olshanetsky, “A short guide to modern geometry for physicists”, UFN, 136:3 (1982),  421–433  mathnet; Phys. Usp., 25:3 (1982), 123–129 4
1980
43. M. A. Olshanetsky, A. M. Perelomov, “The Toda chain as a reduced system”, TMF, 45:1 (1980),  3–18  mathnet  mathscinet; Theoret. and Math. Phys., 45:1 (1980), 843–854  isi 15
1978
44. 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  mathnet  mathscinet  zmath; Funct. Anal. Appl., 12:2 (1978), 121–128 33
1977
45. M. A. Olshanetsky, A. M. Perelomov, “Explicit solutions of some completely integrable Hamiltonian systems”, Funktsional. Anal. i Prilozhen., 11:1 (1977),  75–76  mathnet  mathscinet  zmath; Funct. Anal. Appl., 11:1 (1977), 66–68 7
1976
46. 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  mathnet  mathscinet  zmath; Funct. Anal. Appl., 10:3 (1976), 237–239 9
1972
47. M. A. Olshanetsky, “The asymptotic behavior of spherical functions”, Uspekhi Mat. Nauk, 27:3(165) (1972),  211–212  mathnet  mathscinet 1
48. M. A. Olshanetsky, “Green's functions for the Laplace–Beltrami operator on symmetric spaces”, Uspekhi Mat. Nauk, 27:2(164) (1972),  179–180  mathnet  mathscinet
1969
49. 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  mathnet  mathscinet

2021
50. 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  mathnet  mathscinet  zmath; Russian Math. Surveys, 76:4 (2021), 733–743  isi 1
1991
51. 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  mathnet  mathscinet  zmath; Russian Math. Surveys, 46:3 (1991), 251–254  isi

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   
2. Quasi-compact Higgs bundles and integrable systems
M. Olshanetsky
International conference «Integrable systems and applications» in honour of M. A. Olshanetsky 80-th birthday
December 11, 2018 16:30   
3. 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

Organisations
 
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