Институт теоретической физики им. Л.Д. Ландау


Российской академии наук

Александр Петрович Веселов

Александр Петрович Веселов

Ведущий научный сотрудник (ассоциированный)

Доктор физ.-мат. наук

Профессор

Эл. почта:
Дом. страница: http://www-staff.lboro.ac.uk/~maapv/

Публикации

  1. 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.
  2. 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.
  3. A.P. Veselov, A few things I learnt from Jurgen Moser, Regul. Chaotic Dyn., 13(6), 515-524 (2008); arXiv:0810.5713.
  4. M.V. Feigin, A.P. Veselov, Logarithmic Frobenius structures and Coxeter discriminants, Advances in Mathematics, 212(1), 143-162 (2007); math-ph/0512095.
  5. 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.
  6. A.N. Sergeev, A.P. Veselov, Grothendieck rings of basic classical Lie superalgebras, arXiv:0704.2250.
  7. M. Feigin, A.P. Veselov, On the geometry of V-systems, arXiv:0710.5729.
  8. 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.
  9. 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.
  10. 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.
  11. A.P. Veselov, Yang-Baxter maps: dynamical point of view, math/0612814.
  12. A.N. Sergeev, A.P. Veselov, Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials, Advances in Mathematics, 192(2), 341-375 (2005).
  13. G. Felder, A.P. Veselov, Coxeter group actions on the complement of hyperplanes and special involutions, J. Europ. Math. Soc., 7(1), 101-116 (2005); math/0311190.
  14. 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.
  15. Marie-P. Grosset, A.P. Veselov, Bernoulli numbers and solitons, J. Nonlinear Math. Phys., 12(4), 469-474 (2005).; math/0503175.
  16. 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.
  17. N. Reshetikhin, A. Veselov, Poisson Lie groups and Hamiltonian theory of the Yang-Baxter maps, math/0512328.
  18. 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.
  19. 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.
  20. 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.
  21. M. Kasatani, T. Miwa, A.N. Sergeev, A.P. Veselov, Coincident root loci and Jack and Macdonald polynomials for special values of the parameters, math/0404079.
  22. 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.
  23. Y.B. Suris, A.P. Veselov, Lax matrices for Yang-Baxter maps, J. Nonlinear Math. Phys., 10, Suppl. 2, 223-230 (2003); math/0304122.
  24. 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.
  25. 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.
  26. A.P. Veselov, Yang-Baxter maps and integrable dynamics, Phys. Lett. A 314(3), 214-221 (2003); math/0205335.
  27. A.N. Sergeev, A.P. Veselov, Generalised discriminants, deformed quantum Calogero-Moser system and Jack polynomials, math-ph/0307036.
  28. А.А. Болибрух, А.П. Веселов, А.Б. Жижченко, И.М. Кричевер, А.А. Мальцев, С.П. Новиков, Т.Е. Панов, Ю.М. Смирнов, Виктор Матвеевич Бухштабер (к 60-летию со дня рождения), Успехи мат. наук, 58:3(351), 199–206 (2003) [Russ. Math. Surv., 58(3), 627-635 (2003)].
  29. Jürgen Moser, A.P. Veselov, Two-dimensional «discrete hydrodynamics» and Monge-Ampere equation, Ergodic Theory and Dynamical Systems, 22 (5), 1575-1583 (2002) (with Appendix by E.V. Ferapontov and A.P.Veselov).
  30. M. Feigin, A.P. Veselov, Quasi-invariants of Coxeter groups and m-harmonic polynomials, Int. Math. Res. Notices, 2002(10), 521-545 (2002).
  31. 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.
  32. А.П. Веселов, Е.В. Троицкий, Лекции по аналитической геометрии, М.: Мехмат МГУ, 2002.
  33. 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.
  34. A.P. Veselov, On Stieltjes relations, Painlevé-IV hierarchy and complex monodromy, J. Phys. A 34(16), 3511-3519 (2001); math-ph/0012040.
  35. O.A. Chalykh, A.P. Veselov, Locus configurations and V-systems, Phys. Lett. A 285 (5-6), 339-349 (2001); math-ph/0105003.
  36. D.B. Fairlie, A.P. Veselov, Faulhaber and Bernoulli polynomials and solitons, Physica D 152-153, 47-50 (2001).
  37. 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).
  38. M. Feigin, A.P. Veselov, Quasiinvariants of Coxeter groups and m-harmonic polynomials, math-ph/0105014.
  39. Y. Berest, A. Veselov, On the structure of singularities of integrable Schrodinger operators, Lett. Math. Phys., 52 (2), 103-111 (2000).
  40. 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. 125-136.
  41. S.P. Novikov, A.P. Veselov, Exactly solvable two-dimensional Schrodinger operators and Laplace transformations, In: Solitons, geometry, and topology: on the crossroad, p.109-132, Amer. Math. Soc. Transl. Ser. 2, 179, Amer. Math. Soc., Providence, RI, 1997; math-ph/0003008.
  42. 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.
  43. O.A. Chalykh, V.M. Goncharenko, A.P. Veselov, Multidimensional integrable Schrödinger operators with matrix potential, J. Math. Phys., 40(11), 5341-5355 (1999).
  44. A.P. Veselov, Deformations of the root systems and new solutions to generalised WDVV equations, Phys. Lett. A 261 (5-6), 297-302 (1999).
  45. O. Chalykh, M. Feigin, A. Veselov, New integrable generalizations of Calogero-Moser quantum problem, J. Math. Phys., 39 (2), 695-703 (1998).
  46. V.M. Gonchaarenko, A.P. Veselov, Monodromy of the matrix Schrödinger equations and Darboux transformations, J. Phys. A 31(23), 5315-5326 (1998).
  47. A.P. Veselov, Huygen's principle and integrability, Prog. Math., 169, 259-275 (1998) [Balog, A. (ed.) et al., European congress of mathematics (ECM), Budapest, Hungary, July 22--26, 1996. Volume II. Basel: Birkhäuser. ISBN 3-7643-5498-4].
  48. 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.
  49. H.R. Dullin, P.H. Richter, A.P. Veselov, Action variables of the Kovalevskaya top, Regul. Chaotic Dyn., 3(3), 18-31 (1998).
  50. Ю.Ю. Берест, А.П. Веселов, О сингулярностях потенциалов точно решаемых уравнений Шрёдингера и проблеме Адамара, Успехи мат. наук, 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)].
  51. 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].
  52. 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.
  53. 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].
  54. V.M. Buchstaber, A.P. Veselov, Integrable correspondences and algebraic representations of multivalued groups, Int. Math. Res. Notices, 1996 (8), 381-400 (1996).
  55. A.P. Fordy, A.B. Shabat, A.P. Veselov, Factorization and Poisson correspondences, ТМФ, 105(2), 225-245 (1995) [Theor. Math. Phys., 105(2), 1369-1386 (1995)].
  56. А. П. Веселов, С. П. Новиков, Точно решаемые периодические двумерные операторы Шрёдингера, Успехи мат. наук, 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)].
  57. 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].
  58. A.P. Veselov, Calogero quantum problem, Knizhnik-Zamolodchikov equation, and Huygens principle, ТМФ, 98(3), 524–535 (1994) [Theor. Math. Phys., 98(3), 368–376 (1994)].
  59. А.П. Веселов, А.Б. Шабат, Одевающая цепочка и спектральная теория оператора Шрёдингера, Функц. анализ и его прил., 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)].
  60. S.P. Novikov, A.P. Veselov, Exactly solvable two-dimensional Schrödinger operators and Laplace transformations, Amer. Math. Soc. Transl. Ser. 2, Vol. 193, (1993) [Solitons, Geometry, and Topology: On the Crossroad, Edited by: V. M. Buchstaber and S. P. Novikov, AMS, 1993, 250 pp. ISBN-10: 0-8218-3151-8, ISBN-13: 978-0-8218-3151-9].
  61. S.P. Novikov, A.P. Veselov, Two-dimensional Schrödinger operator: Inverse scattering transform and evolutional equations, Physica D 18 (1-3), 267-273 (1986).
  62. A.P. Veselov, I.M. Krichever, S.P. Novikov, Two-dimensional periodic Schrödinger operators and Prym's $\theta$- functions, Prog. Math. 60, 283-301 (1985) [Geometry today, Int. Conf., Rome 1984].
  63. A.P. Veselov, Cnoidal solutions of the Landau–Lifshitz equation for two-sublattice magnetic materials, Докл. Акад. наук СССР, 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)].
  64. А.П. Веселов, С.П. Новиков, Конечнозонные двумерные потенциальные операторы Шредингера. Явные формулы и эволюционные уравнения, Докл. Акад. наук СССР, 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)].
  65. А.П. Веселов, С.П. Новиков, Конечнозонные двумерные операторы Шредингера. Потенциальные операторы, Докл. Акад. наук СССР, 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)].
  66. A.P. Veselov, The Landau–Lifshits equation and integrable systems of classical mechanics, Докл. Акад. наук СССР, 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)].
  67. A.P. Veselov, The conditions of the euler equation integrability on SO(4), Докл. Акад. наук СССР, 270 (6), 1298-1300 (1983) [A.P. Veselov, The conditions of the euler equation integrability on SO(4)].
  68. А.П. Веселов, Структура аксиально-симметричных солитонных решений уравнений Эйнштейна, ТМФ, 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)].
  69. А.П. Веселов, С.П. Новиков, О скобках Пуассона, совместимых с алгебраической геометрией и динамикой КдФ на множестве конечнозонных потенциалов, Докл. Акад. наук СССР, 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, 357-362 (1982)].
  70. А.П. Веселов, О динамике сингулярностей решений некоторых нелинейных уравнений, ТМФ, 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)].
  71. А.П. Веселов, Рациональные решения уравнения Кадомцева–Петвиашвили и гамильтоновы системы, Успехи мат. наук, 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)].