Russian Academy of Sciences

Landau Institute for Theoretical Physics

Aleksandr P. Veselov

Former staff member (1980 - 2008)

Leading researcher

Doctor of science

Professor

Email:
Homepage: https://www.lboro.ac.uk/departments/maths/staff/alexander-veselov/

Publications

    1. A.N. Sergeev, A.P. Veselov, Grothendieck rings of basic classical Lie superalgebras, Ann. Math., 173 (2), 663-703 (2011); arXiv:0704.2250.
    2. A.N. Sergeev, A.P. Veselov, BC∞ Calogero-Moser operator and super Jacobi polynomials, Adv. Math., 222 (5), 1687-1726 (2009); arXiv:0807.3858, WoS: 000273016300007, Scopus: 2-s2.0-69849114176, ADS: 2008arXiv0807.3858S, RINTs: 15308680, MathSciNet: 2555909, zbMath: 1220.33014.
    3. A.N. Sergeev, A.P. Veselov, Deformed Macdonald-Ruijsenaars operators and super Macdonald polynomials, Commun. Math. Phys., 288(2), 653-675 (2009); arXiv:0707.3129, WoS: 000265388800006, Scopus: 2-s2.0-67349260415, ADS: 2009CMaPh.288..653S, RINTs: 13611417, MathSciNet: 2500994, zbMath: 1228.37041.
    4. G. Felder, A.P. Veselov, Baker-Akhiezer function as iterated residue and Selberg-type integral, Glasgow Math. J., 51A, 59-73 (2009); arXiv:0807.3895, WoS: 000264229600006, Scopus: 2-s2.0-84994577153, ADS: 2008arXiv0807.3895F, RINTs: 27581807, MathSciNet: 2481225, zbMath: 1163.33327.
    5. J. Gibbons, A.P. Veselov, On the rational monodromy-free potentials with sextic growth, J. Math. Phys., 50, 013513 (2009); arXiv:0807.3501, WoS: 000262969800043, Scopus: 2-s2.0-59349121165, ADS: 2009JMP....50a3513G, RINTs: 13614555, MathSciNet: 2492623, zbMath: 1200.34108.
    6. M-P. Grosset, A.P. Veselov, Periodic continued fractions and hyperelliptic curves, J. London Math. Soc. -2nd ser., 77(3), 593-606 (2008); math/0701932, WoS: 000256553500004, Scopus: 2-s2.0-44649136126, ADS: 2007math......1932G, RINTs: 13569767, MathSciNet: 2418294, zbMath: 1149.14020.
    7. M.P. Grosset, A.P. Veselov, Lamé equation, quantum Euler top and elliptic Bernoulli polynomials, Proc. Edinburgh Math. Soc., 51(3), 635-650 (2008); math-ph/0508068, WoS: 000260110800005, Scopus: 2-s2.0-53349117176, ADS: 2005math.ph...8068G, RINTs: 13591611, MathSciNet: 2465928, zbMath: 1178.11026.
    8. A.P. Veselov, A few things I learnt from Jurgen Moser, Regul. Chaotic Dyn., 13(6), 515-524 (2008); arXiv:0810.5713, WoS: 000261763900003, Scopus: 2-s2.0-58049085000, ADS: 2008RCD....13..515V, RINTs: 13593789, MathSciNet: 2465721, zbMath: 1229.37076.
    9. M. Feigin, A.P. Veselov, On the geometry of V-systems, Advances in the Mathematical Sciences 61, 111-123 (2008) [Buchstaber, V. M. (ed.) et al., Geometry, topology, and mathematical physics. S. P. Novikov's seminar: 2006–2007. Selected papers of the seminar, Moscow, Russia, 2006–2007. Dedicated to S. P. Novikov on the occasion of his 70th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4674-2/hbk). American Mathematical SocietyTranslations. Series 2, 224]; arXiv:0710.5729, MathSciNet: 2462356, zbMath: 1155.37038.
    10. M.V. Feigin, A.P. Veselov, Logarithmic Frobenius structures and Coxeter discriminants, Adv. Math., 212(1), 143-162 (2007); math-ph/0512095, WoS: 000247015700005, Scopus: 2-s2.0-34047244754, ADS: 2005math.ph..12095F, RINTs: 13550404, MathSciNet: 2319765, zbMath: 1123.53045.
    11. G. Felder, A.P. Veselov, Polynomial Solutions of the Knizhnik-Zamolodchikov Equations and Schur-Weyl Duality, Int. Math. Res. Notices, 2007, rnm046 (2007) (21 pages); math/0610383, WoS: 000206288300046, Scopus: 2-s2.0-63749086141, ADS: 2006math.....10383F, RINTs: 15292248, MathSciNet: 2348644, zbMath: 1130.35024.
    12. A.V. Bolsinov, H.R. Dullin, A.P. Veselov, Spectra of Sol-manifolds: Arithmetic and quantum monodromy, Commun. Math. Phys., 264 (3), 583-611 (2006); math-ph/0503046, WoS: 000237193800002, Scopus: 2-s2.0-33646528916, ADS: 2006CMaPh.264..583B, RINTs: 13516990, MathSciNet: 2217282, zbMath: 1109.58027.
    13. M-P. Grosset, A.P. Veselov, Elliptic Faulhaber polynomials and Lamé densities of states, Int. Math. Res. Notices, 2006, 62120 (2006) (31 pages); math-ph/0508066, WoS: 000240177300001, Scopus: 2-s2.0-33646459641, ADS: 2005math.ph...8066G, RINTs: 10228849, MathSciNet: 2219216, zbMath: 1142.37042.
    14. V.G. Papageorgiou, A.G. Tongas, A.P. Veselov, Yang-Baxter maps and symmetries of integrable equations on quad-graphs, J. Math. Phys., 47, 083502 (2006); math/0605206, WoS: 000240237300025, Scopus: 2-s2.0-33748326011, ADS: 2006JMP....47h3502P, RINTs: 13512073.
    15. A.P. Veselov, Yang-Baxter maps: dynamical point of view, In: Combinatorial Aspect of Integrable Systems. Lectures of the workshop, RIMS, July 26–30, 2004. Math. Soc. Japan & World Scientific, 2006, 167 pp. ISBN: 978-4-931469-37-2 [Mathematical Society of Japan Memoirs - Vol. 17]; math/0612814.
    16. M. Kasatani, T. Miwa, A.N. Sergeev, A.P. Veselov, Coincident root loci and Jack and Macdonald polynomials for special values of the parameters, Contemporary Mathematics, 417, 207-225 (2006) [Proc. Conference on “Jack, Hall-Littlewood and Macdonald polynomials”, ICMS, Edinburgh, Sept. 23–26, 2003. ISBNs: 978-0-8218-3683-5 (print); 978-0-8218-8096-8 (online)]; math/0404079, WoS: 000243404400012, ADS: 2004math......4079K, MathSciNet: 2284129, zbMath: 1188.33019.
    17. A.N. Sergeev, A.P. Veselov, Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials, Adv. Math., 192(2), 341-375 (2005); math-ph/0307036, WoS: 000228135500004, Scopus: 2-s2.0-13644278915, ADS: 2003math.ph...7036S, RINTs: 13491663.
    18. G. Felder, A.P. Veselov, Coxeter group actions on the complement of hyperplanes and special involutions, J. Eur. Math. Soc., 7(1), 101-116 (2005); math/0311190, WoS: 000226196100005, Scopus: 2-s2.0-12844268640, ADS: 2003math.....11190F, RINTs: 13500095, MathSciNet: 2120992, zbMath: 1070.20045.
    19. A.P. Veselov, J.P. Ward, On the real zeroes of the Hurwitz zeta-function and Bernoulli polynomials, J. Math. Anal. & Appl., 305 (2), 712-721 (2005); math/0205183, WoS: 000228340300025, Scopus: 2-s2.0-15944371914, ADS: 2002math......5183V, RINTs: 13479331, MathSciNet: 2131533, zbMath: 1073.11060.
    20. Marie-P. Grosset, A.P. Veselov, Bernoulli numbers and solitons, J. Nonlinear Math. Phys., 12(4), 469-474 (2005).; math/0503175, WoS: 000232775500003, Scopus: 2-s2.0-30444460574, ADS: 2005JNMP...12..469G, RINTs: 13498267, MathSciNet: 2171999, zbMath: 1084.11008.
    21. O.A. Chalykh, A.P. Veselov, A remark on rational isochronous potentials, J. Nonlinear Math. Phys., 12, Suppl.1, 179-183 (2005); math-ph/0409062, WoS: 000226501000017, Scopus: 2-s2.0-21344442745, ADS: 2005JNMP...12S.179C, RINTs: 13500675, MathSciNet: 2117179, zbMath: 1362.70012.
    22. N. Reshetikhin, A. Veselov, Poisson Lie groups and Hamiltonian theory of the Yang-Baxter maps, math/0512328, ADS: 2005math.....12328R.
    23. V.E. Adler, A.P. Veselov, Cauchy problem for integrable discrete equations on quad-graphs, Acta Appl. Math., 84(2), 237-262 (2004); math-ph/0211054, WoS: 000226517700004, Scopus: 2-s2.0-15544364348, ADS: 2002math.ph..11054A, RINTs: 13468219, MathSciNet: 2114898, zbMath: 1067.37086.
    24. A.N. Sergeev, A.P. Veselov, Deformed quantum Calogero-Moser systems and Lie superalgebras, Commun. Math. Phys., 245(2), 249-278 (2004); math-ph/0303025, WoS: 000220378300002, Scopus: 2-s2.0-1642278036, ADS: 2004CMaPh.245..249S, RINTs: 13455047, zbMath: 1062.81097.
    25. V.M. Goncharenko, A.P. Veselov, Yang-Baxter maps and matrix solitons, NATO Science Series II: Math. Phys. Chem., Vol.132, 191-197 (2004), Dordrecht, Kluwer Academic Publishers [New Trends in Integrability and Partial Solvability, Ed. by A.B. Shabat et al., ISBN: 978-1-4020-1835-0]; math-ph/0303032, ADS: 2003math.ph...3032G, MathSciNet: 2153338, zbMath: 1061.35091.
    26. M. Feigin, A.P. Veselov, Quasi-invariants and quantum integrals of the deformed Calogero-Moser systems, Int. Math. Res. Notices, 2003(46), 2487-2511 (2003); math-ph/0303026, WoS: 000186837000002, Scopus: 2-s2.0-1642350261, ADS: 2003math.ph...3026F, RINTs: 24701146, MathSciNet: 2003602, zbMath: 1034.81024.
    27. Y.B. Suris, A.P. Veselov, Lax matrices for Yang-Baxter maps, J. Nonlinear Math. Phys., 10, Suppl. 2, 223-230 (2003); math/0304122, WoS: 000186474700018, Scopus: 2-s2.0-12344318018, ADS: 2003JNMP...10S.107S, RINTs: 31096514, MathSciNet: 2063532, zbMath: 1362.39016.
    28. G. Felder, A.P. Veselov, Action of Coxeter Groups on m-Harmonic Polynomials and Knizhnik-Zamolodchikov Equations, Moscow Math. J., 3(4), 1269-1291 (2003); math/0108012, WoS: 000208594400004, ADS: 2001math......8012F.
    29. A.V. Penskoi, A.P. Veselov, Discrete Lagrangian systems on the Virasoro group and Camassa-Holm family, Nonlinearity, 16 (2), 683-688 (2003); math-ph/0209037, WoS: 000181842900018, Scopus: 2-s2.0-0242276346, ADS: 2003Nonli..16..683P, RINTs: 13437318, MathSciNet: 1959104, zbMath: 1072.70012.
    30. A.P. Veselov, Yang-Baxter maps and integrable dynamics, Phys. Lett. A 314(3), 214-221 (2003); math/0205335, WoS: 000184294600008, Scopus: 2-s2.0-0037765595, ADS: 2003PhLA..314..214V, RINTs: 13435117, MathSciNet: 1995883, zbMath: 1051.81014.
    31. A.N. Sergeev, A.P. Veselov, Generalised discriminants, deformed quantum Calogero-Moser system and Jack polynomials, math-ph/0307036, ADS: 2003math.ph...7036S.
    32. A.A. Bolibrukh, A.P. Veselov, A.B. Zhizhchenko, I.M. Krichever, A.A. Mal’tsev, S.P. Novikov, T.E. Panov, Yu.M. Smirnov, Viktor Matveevich Bukhshtaber (k 60-letiyu so dnya rozhdeniya), Uspekhi mat. nauk, 58:3(351), 199–206 (2003) [A.A. Bolibrukh, A.P. Veselov, A.B. Zhizhchenko, I.M. Krichever, A.A. Mal’tsev, S.P. Novikov, T.E. Panov, Yu.M. Smirnov, Viktor Matveevich Buchstaber (on his 60th birthday), Russ. Math. Surv., 58(3), 627-635 (2003)].
    33. J. Moser, A.P. Veselov, Two-dimensional ‘discrete hydrodynamics’ and Monge–Ampère equations, Ergodic Theory and Dynamical Systems, 22 (5), 1575-1583 (2002), WoS: 000179154700013, Scopus: 2-s2.0-0036801917, ADS: -, RINTs: 13402190, MathSciNet: 1934151, zbMath: 1018.37050.
    34. M. Feigin, A.P. Veselov, Quasi-invariants of Coxeter groups and m-harmonic polynomials, Int. Math. Res. Notices, 2002(10), 521-545 (2002); math-ph/0105014, WoS: 000174275600002, Scopus: 2-s2.0-0036351004, ADS: 2001math.ph...5014F, RINTs: 24801966, MathSciNet: 1883902, zbMath: 1009.20044.
    35. A.P. Veselov, On generalizations of the Calogero-Moser-Sutherland quantum problem and WDVV equations, J. Math. Phys., 43(11), 5675-5682 (2002); math-ph/0204050, WoS: 000178767300026, Scopus: 2-s2.0-0036848771, ADS: 2002JMP....43.5675V, RINTs: 13399213, MathSciNet: 1936543, zbMath: 1060.81037.
    36. A.P. Veselov, E.V. Troitskii, Lektsii po analiticheskoi geometrii, M.: Mekhmat MGU, 2002.
    37. E.V. Ferapontov, A.P. Veselov, Integrable Schrödinger operators with magnetic fields: Factorization method on curved surfaces, J. Math. Phys., 42(2), 590-607 (2001); math-ph/0007034, WoS: 000166475700004, Scopus: 2-s2.0-0035529632, ADS: 2001JMP....42..590F, RINTs: 13367024, MathSciNet: 1808441, zbMath: 1013.81007.
    38. A.P. Veselov, On Stieltjes relations, Painlevé-IV hierarchy and complex monodromy, J. Phys. A 34(16), 3511-3519 (2001); math-ph/0012040, WoS: 000168696000022, Scopus: 2-s2.0-0035957890, ADS: 2001JPhA...34.3511V, RINTs: 13385594, MathSciNet: 1838065, zbMath: 1045.34060.
    39. O.A. Chalykh, A.P. Veselov, Locus configurations and ∨-systems, Phys. Lett. A 285 (5-6), 339-349 (2001); math-ph/0105003, WoS: 000169948300015, Scopus: 2-s2.0-0011468494, ADS: 2001PhLA..285..339C, RINTs: 13364725, MathSciNet: 1851578, zbMath: 0969.35529.
    40. D.B. Fairlie, A.P. Veselov, Faulhaber and Bernoulli polynomials and solitons, Physica D 152-153, 47-50 (2001), WoS: 000168986300006, Scopus: 2-s2.0-0035873588, ADS: 2001PhyD..152...47F, RINTs: 13376353, MathSciNet: 1837896, zbMath: 0984.37083.
    41. H.R. Dullin, P.H. Richter, A.P. Veselov, H. Waalkens, Actions of the Neumann systems via Picard-Fuchs equations, Physica D 155 (3-4), 159-183 (2001), WoS: 000169787500001, Scopus: 2-s2.0-0035879406, ADS: 2001PhyD..155..159D, RINTs: 20863953, MathSciNet: 1855358, zbMath: 1001.70013.
    42. Y. Berest, A. Veselov, On the structure of singularities of integrable Schrodinger operators, Lett. Math. Phys., 52 (2), 103-111 (2000), WoS: 000089597500001, Scopus: 2-s2.0-0043186027, ADS: -, RINTs: 14085891, MathSciNet: 1786855, zbMath: 0969.47018.
    43. A.P. Veselov, On geometry of a special class of solutions to generalised WDVV equations, In: Integrability: The Seiberg-Witten and Whitham equations (Ed. by H. Braden and I.Krichever), Gordon and Breach, 2000, p. 125-135; hep-th/0105020, ADS: 2001hep.th....5020V, InSpire: 556154, zbMath: 0992.37064.
    44. O.A. Chalykh, M.V. Feigin, A.P. Veselov, Multidimensional Baker-Akhiezer functions and Huygens' principle, Commun. Math. Phys., 206 (3), 533-566 (1999); math-ph/9903019, WoS: 000083491400002, Scopus: 2-s2.0-0033517393, ADS: 1999CMaPh.206..533C, RINTs: 13317760, zbMath: 0972.35110.
    45. O.A. Chalykh, V.M. Goncharenko, A.P. Veselov, Multidimensional integrable Schrödinger operators with matrix potential, J. Math. Phys., 40(11), 5341-5355 (1999), WoS: 000083342100004, Scopus: 2-s2.0-0033240056, ADS: 1999JMP....40.5341C, RINTs: 13311742.
    46. A.P. Veselov, Deformations of the root systems and new solutions to generalised WDVV equations, Phys. Lett. A 261 (5-6), 297-302 (1999); hep-th/9902142, WoS: 000083334400011, Scopus: 2-s2.0-0345984487, ADS: 1999PhLA..261..297V, InSpire: 495603, RINTs: 13326721.
    47. A.P. Veselov, A.V. Penskoi, Algebro-geometricheskie skobki Puassona dlya raznostnykh uravnenii i sistema Vol’terra, Dokl. Akad. nauk, 366 (3), 299-303 (1999) [A.P. Veselov, A.V. Penskoi, Algebraic-geometric Poisson brackets for difference operators and Volterra systems, Dokl. Math. 59(3), 391-394 (1999)], WoS: 000086398900002, Scopus: 2-s2.0-0040631740, RINTs: 13307284, zbMath: 0995.37055.
    48. O. Chalykh, M. Feigin, A. Veselov, New integrable generalizations of Calogero-Moser quantum problem, J. Math. Phys., 39 (2), 695-703 (1998), WoS: 000071747600002, Scopus: 2-s2.0-0032353158, ADS: 1998JMP....39..695C, RINTs: 13303156, MathSciNet: 1600458, zbMath: 0906.34061.
    49. V.M. Gonchaarenko, A.P. Veselov, Monodromy of the matrix Schrödinger equations and Darboux transformations, J. Phys. A 31(23), 5315-5326 (1998), WoS: 000074438000014, Scopus: 2-s2.0-0032510919, ADS: 1998JPhA...31.5315G, RINTs: 13295337, MathSciNet: 1634885, zbMath: 0921.34077.
    50. A.P. Veselov, A.V. Penskoi, On algebro-geometric Poisson brackets for the Volterra lattice, Regul. Chaotic Dyn., 3(2), 3-9 (1998); math-ph/0010027, WoS: -, Scopus: 2-s2.0-54649083960, ADS: 2000math.ph..10027V, RINTs: 13278008, MathSciNet: 1693458, zbMath: 0938.37041.
    51. H.R. Dullin, P.H. Richter, A.P. Veselov, Action variables of the Kovalevskaya top, Regul. Chaotic Dyn., 3(3), 18-31 (1998), WoS: -, Scopus: 2-s2.0-54649083952, ADS: -, RINTs: 13278007.
    52. Yu.Yu. Berest, A.P. Veselov, O singulyarnostyakh potentsialov tochno reshaemykh uravnenii Shryodingera i probleme Adamara, Uspekhi mat. nauk, 53:1(319), 211–212 (1998) [Y.Y. Berest, A.P. Veselov, On the singularities of potentials of exactly soluble Schrodinger equations and on Hadamard's problem, Russ. Math. Surv., 53(1), 208-209 (1998)], WoS: 000075002400007, Scopus: 2-s2.0-0000836527, ADS: 1998RuMaS..53..208B, RINTs: -, MathSciNet: 1618173, zbMath: 0918.35041.
    53. A.P. Veselov, Baker-Akhiezer functions and bispectral problem in many dimensions, CRM Proceedings and Lecture Notes, 14, 123-129 (1998) [The Bispectral Problem. Ed. by John Harnad and Alex Kasman. AMS | CRM, 1998, 235 pp., ISBN-10: 0-8218-0949-0, ISBN-13: 978-0-8218-0949-5], MathSciNet: 1611028, zbMath: 0898.35027.
    54. S.P. Novikov, A.P. Veselov, Exactly solvable two-dimensional Schrödinger operators and Laplace transformations., Amer. Math. Soc. Transl. Ser. 2, Vol. 179(33), 109-132 (1997) [Solitons, geometry, and topology: on the crossroad. Ed. by V. M. Buchstaber, S. P. Novikov. AMS, 1997, 189 pp. ISBN-10: 0-8218-0666-1, ISBN-13: 978-0-8218-0666-1]; math-ph/0003008, ADS: 2000math.ph...3008N.
    55. A.P. Veselov, Huygens' principle and integrability, Progress in Math., 169, 259-275 (1997) [European Congress of Mathematics 1996, Volume 2. Balog, A.; Szasz, D.; Recski, A.; Katona, G.O.H. (Eds.), Birkhäuser, 1997, ISBN: 978-3-7643-5498-5].
    56. O.A. Chalykh, A.P. Veselov, Integrability and Huygens’ principle on symmetric spaces, Commun. Math. Phys., 178(2), 311-338 (1996), WoS: A1996UQ94400004, Scopus: 2-s2.0-0030552714, ADS: 1996CMaPh.178..311C.
    57. V.M. Buchstaber, A.P. Veselov, Integrable correspondences and algebraic representations of multivalued groups, Int. Math. Res. Notices, 1996 (8), 381-400 (1996).
    58. V.M. Buchstaber, A.P. Veselov, On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera, Math. Z., 223 (4), 595-607 (1996), WoS: A1996WA76000005.
    59. A.P. Veselov, M.V. Feigin, O.A. Chalykh, Novye integriruemye deformatsii kvantovoi zadachi Kalodzhero–Mozera, Uspekhi mat. nauk, 51:3(309), 185–186 (1996) [A.P. Veselov, M.V. Feigin, O.A. Chalykh, New integrable deformations of the Calogero-Moser quantum problem, Russ. Math. Surv., 51(3), 573–574 (1996)].
    60. M.U. Schmid, A.P. Veselov, Elliptic Calogero-Moser quantum problem and deformations of algebraic surfaces, Preprint SFB-288-245, Dec 1996 - 18 pages, InSpire: 429015.
    61. A.P. Veselov, Huygens' principle and integrable systems, Physica D 87 (1-4), 9-13 (1995), WoS: A1995TB22600003, Scopus: 2-s2.0-0002856093, ADS: 1995PhyD...87....9V, MathSciNet: 1361661, zbMath: 1194.35267.
    62. A.P. Fordy, A.B. Shabat, A.P. Veselov, Factorization and Poisson correspondences, TMF, 105(2), 225-245 (1995) [Theor. Math. Phys., 105(2), 1369-1386 (1995)], WoS: A1995UP84300005, Scopus: 2-s2.0-21344443028, ADS: 1995TMP...105.1369F, RINTs: 31103745, MathSciNet: 1601137, zbMath: 0865.58029.
    63. A. P. Veselov, S. P. Novikov, Tochno reshaemye periodicheskie dvumernye operatory Shryodingera, Uspekhi mat. nauk, 50:6(306), 171-172 (1995) [A.P. Veselov, S.P. Novikov, Exactly soluble periodic two-dimensional Schrödinger operators, Russ. Math. Surv., 50(6), 1316-1317 (1995)], MathSciNet: 1379084, zbMath: 0855.35031.
    64. A.P. Veselov, Huygens' principle and algebraic Schrödinger operators, Amer. Math. Soc. Transl. Ser. 2, Vol. 170, 199-206 (1995) [Topics in Topology and Mathematical Physics, Edited by: S. P. Novikov, 1995; 206 pp; ISBN-10: 0-8218-0455-3, SBN-13: 978-0-8218-0455-1], MathSciNet: 1355556, zbMath: 0844.35060.
    65. I.A. Dynnikov, A.P. Veselov, Integrable Gradient Flows and Morse Theory, dg-ga/9506004, ADS: 1995dg.ga.....6004D.
    66. G. Felder, A.P. Veselov, Shift-operators for the quantum Calogero-Sutherland problems via Knizhnik-Zamolodchikov equation, Commun. Math. Phys., 160(2), 259-273 (1994), WoS: A1994MZ37100003, Scopus: 2-s2.0-21344495713, ADS: 1994CMaPh.160..259F.
    67. V.M. Buchstaber, G. Felder, A.V. Veselov, Elliptic Dunkl operators, root systems, and functional equations, Duke Math. J., 76, 885-911 (1994); hep-th/9403178, WoS: A1994QB36300011, Scopus: 2-s2.0-0000391973, ADS: 1994hep.th....3178B, InSpire: 372422.
    68. A.P. Veselov, Two remarks about the connection of Jacobi and Neumann integrable systems, Math. Z., 216 (3), 337-345 (1994).
    69. A.P. Veselov, Calogero quantum problem, Knizhnik-Zamolodchikov equation, and Huygens principle, TMF, 98(3), 524–535 (1994) [Theor. Math. Phys., 98(3), 368–376 (1994)], WoS: A1994PQ98700018, ADS: 1994TMP....98..368V.
    70. V.M. Bukhshtaber, A.P. Veselov, Operatory Dankla, funktsional’nye uravneniya i preobrazovaniya ellipticheskikh rodov, Uspekhi mat. nauk, 49:2(296), 147-148 (1994) [V.M. Bukhshtaber, A.P. Veselov, Dunkl operators, functional equations, and transformations of elliptic genera, Russ. Math. Surv., 49(2), 145-147 (1994)], WoS: A1994QR68600006, Scopus: 2-s2.0-84957332897, ADS: 1994RuMaS..49..145B.
    71. Yu.Yu. Berest, A.P. Veselov, Printsip Gyuigensa i integriruemost’, Uspekhi mat. nauk, 49:6(300), 7-78 (1994) [Yu.Yu. Berest, A.P. Veselov, Huygens' principle and integrability, Russ. Math. Surv., 49(6), 5-77 (1994)], WoS: A1994TD11100002, Scopus: 2-s2.0-84957337849, ADS: 1994RuMaS..49....5B.
    72. Yu.Yu. Berest, A.P. Veselov, Problema Adamara i gruppy Kokstera: novye primery gyuigensovykh uravnenii, Funkts. analiz i ego pril., 28(1), 3–15 (1994) [Yu.Yu. Berest, A.P. Veselov, Hadamard's problem and coxeter groups: New examples of Huygens' equations, Funct. Anal. Appl., 28(1), 3-12 (1994)], WoS: A1994NW89900001, Scopus: 2-s2.0-0009109633, ADS: -.
    73. O.A. Chalykh, A.P. Veselov, Integrability in the theory of Schrödinger operator and harmonic-analysis, Commun. Math. Phys., 152(1), 29-40 (1993), WoS: A1993KN23000003, Scopus: 2-s2.0-21144464321.
    74. A.P. Veselov, K.L. Styrkas, O.A. Chalykh, Algebraicheskaya integriruemost’ dlya uravneniya Shredingera i gruppy, porozhdennye otrazheniyami, TMF, 94(2), 253-275 (1993) [A.P. Veselov, K.L. Styrkas, O.A. Chalykh, Algebraic integrability for the Schrödinger equation and finite reflection groups, Theor. Math. Phys., 94(2), 182-197 (1993)], WoS: A1993LZ24300007, Scopus: 2-s2.0-3425008211.
    75. Yu.Yu. Berest, A.P. Veselov, Printsip Gyuigensa i gruppy Kokstera, Uspekhi mat. nauk, 48:3(291), 181-182 (1993) [Yu.Yu. Berest, A.P. Veselov, The Huygens principle and Coxeter groups, Russ. Math. Surv., 48(3), 183–184 (1993)], WoS: A1993NN35000006, Scopus: 2-s2.0-84956224104.
    76. A.P. Veselov, A.B. Shabat, Odevayushchaya tsepochka i spektral’naya teoriya operatora Shryodingera, Funkts. analiz i ego pril., 27(2), 1–21 (1993) [A.P. Veselov, A.B. Shabat, Dressing chains and the spectral theory of the Schrödinger operator, Funct. Anal. Appl., 27(2), 81-96 (1993)], WoS: A1993ME86400001, Scopus: 2-s2.0-0002446352, MathSciNet: 1251164.
    77. A.P. Veselov, Growth and integrability in the dynamics of mappings, Commun. Math. Phys., 145(1), 181-193 (1992), WoS: A1992HK59700008, Scopus: 2-s2.0-0000964819.
    78. A.P. Veselov, O.A. Chalykh, Yavnye formuly dlya sfericheskikh funktsii simmetricheskikh prostranstv tipa AII, Funkts. analiz i ego pril., 26(1), 74-76 (1992) [A.P. Veselov, O.A. Chalykh, Explicit formulas for spherical functions on symmetric spaces of type AII, Funct. Anal. Appl., 26(1), 59-61 (1992)], WoS: A1992JQ83400015, Scopus: 2-s2.0-0040218163, MathSciNet: 1163024, zbMath: 0760.43004.
    79. A.P. Veselov, Parametricheskii rezonans i geodezicheskie na ellipsoide, Funkts. analiz i ego pril., 26(3), 74-76 (1992) [A.P. Veselov, Parametric resonance and geodesics on an ellipsoid, Funct. Anal. Appl., 26(3), 211-213 (1992)], WoS: A1992KE97600009, Scopus: 2-s2.0-0010980874, MathSciNet: 1189027, zbMath: 0811.34039.
    80. A.P. Veselov, Dinamika otobrazhenii toricheskikh mnogoobrazii, svyazannykh s algebrami Li, Tr. MIAN SSSR, 193 (Topologiya i ee prilozheniya), 60-65 (1992) [Proc. Steklov Inst. Math., 193, 65–70 (1993)].
    81. J. Moser, A.P. Veselov, Discrete versions of some classical integrable systems and factorization of matrix polynomials, Commun. Math. Phys., 139(2), 217-243 (1991), WoS: A1991GA82100001, Scopus: 2-s2.0-0000008977.
    82. A.P. Veselov, O roste chisla obrazov tochki pri iteratsiyakh mnogoznachnogo otobrazheniya, Matem. zametki, 49(2), 29–35 (1991) [A.P. Veselov, Growth of the number of images of a point under iterates of a multivalued map, Math. Notes, 49(2), 134–139 (1991)], WoS: A1991GN70000025.
    83. A.P. Veselov, Integriruemye otobrazheniya, Uspekhi mat. nauk, 46:5(281), 3-45 (1991) [A.P. Veselov, Integrable maps, Russ. Math. Surv., 46(5), 1-51 (1991)], WoS: A1991JE62800001, MathSciNet: 1160332, zbMath: 0785.58027|0746.58033.
    84. A.P. Veselov, Integriruemye lagranzhevy sootvetstviya i faktorizatsiya matrichnykh mnogochlenov, Funkts. analiz i ego pril., 25(2), 85-88 (1991) [A.P. Veselov, Integrable Lagrangian correspondences and the factorization of matrix polynomials, Funct. Anal. Appl., 25(2), 112-122 (1991)], WoS: A1991GT02600004, MathSciNet: 1142207, zbMath: 0731.58034.
    85. A.P. Veselov, What Is an Integrable Mapping?, In: What is integrability?, Ed. by V.E. Zakharov, Springer Series in Nonlinear Dynamics, p. 251-272 (1991).
    86. O.A. Chalykh, A.P. Veselov, Commutative rings of partial differential operators and Lie algebras, Commun. Math. Phys., 126(3), 597-611 (1990), WoS: A1990CJ00400009.
    87. A.P. Veselov, Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space, J. Geom. Phys., 7(1), 81-107 (1990).
    88. A.P. Veselov, Gruppa Kremony i dinamicheskie sistemy, Matem. zametki, 45(3), 118-120 (1989), WoS: A1990CJ00400009, MathSciNet: 1001704, zbMath: 0687.58014.
    89. A.P. Veselov, L.E. Veselova, Integriruemye negolonomnye sistemy na gruppakh Li, Matem. zametki, 44(5), 604–619 (1988) [A.P. Veselov, L.E. Veselova, Integrable nonholonomic systems on Lie groups, Math. Notes, 44(5), 810–819 (1988)], WoS: A1988AJ33300005, MathSciNet: 0980581, zbMath: 0694.58021|0662.58020.
    90. A.P. Veselov, Integriruemye sistemy s diskretnym vremenem i raznostnye operatory, Funkts. analiz i ego pril., 22(2), 1–13 (1988) [A.P. Veselov, Integrable discrete-time systems and difference operators, Funct. Anal. Appl., 22(2), 83-93 (1988)], WoS: A1988R699700001, zbMath: 0694.58020|0661.58012.
    91. A.P. Veselov, O zamene vremeni v integriruemykh sistemakh, Vestnik MGU, ser. 1: mat., mekh., №5, 25-29 (1987) [A.P. Veselov, Time substitution in integrable systems, Mosc. Univ. Math. Bull., 42(5), 26-30 (1987)], WoS: A1987L224800006, MathSciNet: 0913265, zbMath: 0655.58016.
    92. A.P. Veselov, Integriruemye otobrazheniya i algebry Li, Dokl. Akad. nauk SSSR, 292(6), 1289-1291 (1987) [A.P. Veselov, Integrable mappings and Lie algebras, Sov. Math. Dokl. 35 (1), 211-213 (1987)], WoS: A1987G384400001, MathSciNet: 880608, zbMath: 0631.32024.
    93. A.P. Veselov, Integrirovanie statsionarnoi zadachi dlya klassicheskoi spinovoi tsepochki, TMF, 71(1), 154-159 (1987) [A.P. Veselov, Integration of the stationary problem for a classical spin chain, Theor. Math. Phys., 71(1), 446-450 (1987)], WoS: A1987K689200015.
    94. S.P. Novikov, A.P. Veselov, Two-dimensional Schrödinger operator: Inverse scattering transform and evolutional equations, Physica D 18 (1-3), 267-273 (1986), WoS: A1986A640900030, Scopus: 2-s2.0-45949131143, MathSciNet: 0838332.
    95. A.P. Veselov, L.E. Veselova, Potoki na gruppakh Li s negolonomnoi svyaz’yu i integriruemye negamil’tonovy sistemy, Funkts. analiz i ego pril., 20(4), 65–66 (1986) [A.P. Veselov, L.E. Veselova, Currents on Lie groups with nonholonomic connection and integrable nonhamiltonian systems, Funct. Anal. Appl., 20(4), 308–309 (1986)], WoS: A1986J362600008, MathSciNet: 878046, zbMath: 0621.58024.
    96. A.P. Veselov, I.M. Krichever, S.P. Novikov, Two-dimensional periodic Schrödinger operators and Prym's θ-functions, Prog. Math. 60, 283-301 (1985) [Geometry today, Proc. Int. Conf., Rome, June 4–11, 1984. Ed. by by E. Arbarello, C. Procesi and E. Strickland. Birkhäuser Boston, Inc., Boston, MA, 1985. 329 pp. ISBN: 0-8176-3290-5].
    97. A.P. Veselov, Knoidal’nye resheniya uravneniya Landau–Lifshitsa dlya dvukhpodreshetochnogo magnetika, Dokl. Akad. nauk SSSR, 276 (3), 590-593 (1984) [A.P. Veselov, Cnoidal solutions of the Landau–Lifshitz equation for two-sublattice magnetic materials, Sov. Phys. Dokl. 29(5), 393-395 (1984)], WoS: A1984SY37500019, MathSciNet: 752432.
    98. A.P. Veselov, S.P. Novikov, Konechnozonnye dvumernye potentsial’nye operatory Shredingera. Yavnye formuly i evolyutsionnye uravneniya, Dokl. Akad. nauk SSSR, 279 (1), 20-24 (1984) [A.P. Veselov, S.P. Novikov, Finite-zone, two-dimensional, potential Schrödinger operators. Explicit formulas and evolution equations, Sov. Math., Dokl. 30, 588-591 (1984)], WoS: A1984TU16600004, MathSciNet: 0769198, zbMath: 0613.35020.
    99. A.P. Veselov, S.P. Novikov, Konechnozonnye dvumernye operatory Shredingera. Potentsial’nye operatory, Dokl. Akad. nauk SSSR, 279 (4), 784-788 (1984) [A.P. Veselov, S.P. Novikov, Finite-zone, two-dimensional Schrödinger operators. Potential operators, Sov. Math., Dokl. 30, 705-708 (1984)], WoS: A1984TX68200003, MathSciNet: 0771574, zbMath: 0602.35024.
    100. A.P. Veselov, L.A. Takhtadzhyan, Integriruemost’ uravnenii Novikova dlya glavnykh kiral’nykh polei s mnogoznachnym lagranzhianom, Dokl. Akad. nauk SSSR, 279 (5), 1097-1100 (1984) [A.P. Veselov, L.A. Takhtadzhian, Integrability of Novikov equations for principal chiral-fields with multivalued Lagrangian, Sov. Math. Dokl. 30, 750 (1984)], WoS: A1984TY78100017, MathSciNet: 796736.
    101. A.P. Veselov, S.P. Novikov, Skobki Puassona i kompleksnye tory, Tr. MIAN SSSR, 165 (Algebraicheskaya geometriya i ee prilozheniya), 49–61 (1984) [A.P. Veselov, S.P. Novikov, Poisson brackets and complex tori, Proc. Steklov Inst. Math., 165, 53-65 (1985)].
    102. A.P. Veselov, Uravnenie Landau–Lifshitsa i integriruemye sistemy klassicheskoi mekhaniki, Dokl. Akad. nauk SSSR, 270 (5), 1094-1097 (1983) [A.P. Veselov, The Landau–Lifshits equation and integrable systems of classical mechanics, Sov. Phys. Dokl. 28(6), 458-459 (1983)], WoS: A1983QX45000017, MathSciNet: 0714061.
    103. A.P. Veselov, Ob usloviyakh integriruemosti uravnenii Eilera na SO(4), Dokl. Akad. nauk SSSR, 270 (6), 1298-1300 (1983) [A.P. Veselov, The conditions of the euler equation integrability on SO(4), Sov. Math., Dokl. 27(6), 740-742 (1983)], WoS: A1983QZ69200003, MathSciNet: 0712935, zbMath: 0539.58013.
    104. A.P. Veselov, Struktura aksial’no-simmetrichnykh solitonnykh reshenii uravnenii Einshteina, TMF, 54(2), 239–245 (1983) [A.P. Veselov, Structure of axisymmetric soliton solutions of Einstein's equations, Theor. Math. Phys., 54(2), 155-160 (1983)], WoS: A1983RG50200008.
    105. A.P. Veselov, S.P. Novikov, O skobkakh Puassona, soglasovannykh s algebraicheskoi geometriei i dinamikoi Kortevega–de Friza na mnozhestve konechnozonnykh potentsialov, Dokl. Akad. nauk SSSR, 266 (3), 533-537 (1982) [A.P. Veselov, S.P. Novikov, On Poisson brackets compatible with algebraic geometry and Korteweg-de Vries dynamics on the set of finite-zone potentials, Sov. Math., Dokl. 26(2), 357-362 (1982)], WoS: A1982PQ60300004, MathSciNet: 0672377, zbMath: 0555.35106.
    106. A.P. Veselov, O dinamike singulyarnostei reshenii nekotorykh nelineinykh uravnenii, TMF, 50(3), 477–480 (1982) [A.P. Veselov, Dynamics of the singularities of solutions of some nonlinear equations, Theor. Math. Phys., 50(3), 314-316 (1982)], WoS: A1982PK24500018.
    107. A.P. Veselov, Ratsional’nye resheniya uravneniya Kadomtseva–Petviashvili i gamil’tonovy sistemy, Uspekhi mat. nauk, 35:1(211), 195–196 (1980) [A.P. Veselov, Rational solutions of the Kadomtsev-Petviashvili equation and Hamiltonian systems, Russ. Math. Surv., 35(1), 239–240 (1980)].
    108. A.P. Veselov, Konechnozonnye potentsialy i integriruemye sistemy na sfere s kvadratichnym potentsialom, Funkts. analiz i ego pril., 14(1), 48–50 (1980) [A.P. Veselov, Finite-zone potentials and integrable systems on a sphere with quadratic potential, Funct. Anal. Appl., 14(1), 37-39 (1980)].
    109. A.P. Veselov, O gamil’tonovom formalizme dlya uravnenii Novikova–Krichevera kommutativnosti dvukh operatorov, Funkts. analiz i ego pril., 13(1), 1-7 (1979) [A.P. Veselov, Hamiltonian formalism for the Novikov—Krichever equations for the commutativity of two operators, Funct. Anal. Appl., 13(1), 1-6 (1979)].