Journal Articles
Buchstaber, V and
Veselov, A (2024)
Chern-Dold character in complex cobordisms and theta divisors,
Advances in Mathematics, 449(2024), 109720, ISSN: 0001-8708. DOI:
10.1016/j.aim.2024.109720.
Gibbons, J, Stokes, A,
Veselov, A (2024)
Delay Painlevé-I equation, associated polynomials and Masur-Veech volumes,
Journal of Geometry and Physics, 202, pp.105225-105225, ISSN: 0393-0440. DOI:
10.1016/j.geomphys.2024.105225.
Morier-Genoud, S, Ovsienko, V,
Veselov, A (2024)
Burau representation of braid groups and q-rationals,
International Mathematics Research Notices, ISSN: 1073-7928. DOI:
10.1093/imrn/rnad318.
Leclere, L, Morier-Genoud, S, Ovsienko, V,
Veselov, A (2024)
On radius of convergence of q-deformed real numbers,
Moscow Mathematical Journal, 24(1), pp.1-19, ISSN: 1609-3321. DOI:
10.17323/1609-4514-2024-24-1-1-19.
Veselov, A and Ye, Y (2023)
Quantum Bianchi-VII problem, Mathieu functions and arithmetic,
Journal of Geometry and Physics, 189, 104830, ISSN: 0393-0440. DOI:
10.1016/j.geomphys.2023.104830.
Veselov, A (2023)
Conway's light on the shadow of Mordell,
The Mathematical Intelligencer, 45(4), ISSN: 0343-6993. DOI:
10.1007/s00283-022-10261-3.
Buchstaber, VM,
Veselov, A, Gaifullin, AA (2022)
Classification of involutive commutative two-valued groups,
Russian Mathematical Surveys, 77(4), pp.651-727, ISSN: 0036-0279. DOI:
10.4213/rm10064.
Knibbeler, V, Lombardo, S,
Veselov, A (2022)
Automorphic Lie algebras and modular forms,
International Mathematics Research Notices, 2023(6), pp.5209-5262, ISSN: 1073-7928. DOI:
10.1093/imrn/rnab376.
Buchstaber, VM,
Veselov, AP, Gaifullin, AA (2022)
Classification of involutive commutative two-valued groups,
Russian Mathematical Surveys, 77(4), pp.651-727, ISSN: 0036-0279. DOI:
10.4213/rm10064e.
Bolsinov, AV, Buchstaber, VM,
Veselov, AP, Grinevich, PG, Dynnikov, IA, Kozlov, VV, Kordyukov, YA, Millionshchikov, DV, Mironov, AE, Novikov, RG, Novikov, SP, Yakovlev, AA (2022)
Iskander Asanovich Taimanov (on his 60th birthday),
Russian Mathematical Surveys, 77(6), pp.1159-1168, ISSN: 0036-0279. DOI:
10.4213/rm10091e.
Buchstaber, VM, Varchenko, AN,
Veselov, AP, Grinevich, PG, Grushevsky, SM, Dobrokhotov, SY, Zabrodin, AV, Marshakov, AV, Mironov, AE, Nekrasov, NA, Novikov, SP, Okounkov, AY, Olshanetsky, MA, Pogrebkov, AK, Taimanov, IA, Tsfasman, MA, Chekhov, LO, Sheinman, OK, Shlosman, SB (2021)
MATHEMATICAL LIFE Igor' Moiseevich Krichever (on his 70th birthday),
RUSSIAN MATHEMATICAL SURVEYS, 76(4), pp.733-743, ISSN: 0036-0279. DOI:
10.1070/RM10015.
Bolsinov, A,
Veselov, A, Ye, Y (2021)
Chaos and integrability in SL(2,R)-geometry,
Russian Mathematical Surveys, 76(4), pp.557-586, ISSN: 0036-0279. DOI:
10.1070/RM10008.
Veselov, AP and Wu, LH (2021)
Geodesic scattering on hyperboloids and Knörrer's map,
Nonlinearity, 34(9), pp.5926-5954, ISSN: 0951-7715. DOI:
10.1088/1361-6544/ac0f4e.
Feigin, M, Hallnas, M,
Veselov, A (2021)
Quasi-invariant Hermite polynomials and Lassalle-Nekrasov correspondence,
Communications in Mathematical Physics, 386(1), pp.107-141, ISSN: 0010-3616. DOI:
10.1007/s00220-021-04036-8.
Veselov, A and Ye, Y (2020)
Integrable generalisations of Dirac magnetic monopole,
Journal of Physics A: Mathematical and Theoretical, 53(49), pp.494004-494004, ISSN: 1751-8113. DOI:
10.1088/1751-8121/abbfbf.
Veselov, AP and Ye, Y (2020)
New integrable two-centre problem on sphere in Dirac magnetic field,
Letters in Mathematical Physics, ISSN: 0377-9017. DOI:
10.1007/s11005-020-01308-7.
Astashov, AM, Astashova, IV, Bocharov, AV, Buchstaber, VM, Vassiliev, VA, Verbovetsky, AM, Vershik, AM,
Veselov, AP, Vinogradov, MM, Vitagliano, L, Vitolo, RF, Voronov, TT, Kac, VG, Kosmann-Schwarzbach, Y, Krasil'shchik, IS, Krichever, IM, Krishchenko, AP, Lando, SK, Lychagin, VV, Marvan, M, Maslov, VP, Mishchenko, AS, Novikov, SP, Rubtsov, VN, Samokhin, AV, Sossinsky, AB, Stasheff, J, Fuchs, DB, Khelemsky, AY, Khor'kova, NG, Chetverikov, VN, Schwarz, AS (2020)
Alexandre Mikhailovich Vinogradov (obituary),
RUSSIAN MATHEMATICAL SURVEYS, 75(2), pp.369-375, ISSN: 0036-0279. DOI:
10.1070/RM9931.
Buchstaber, VM and
Veselov, AP (2019)
Conway topograph, PGL(2,Z)-dynamics and two-valued groups,
RUSSIAN MATHEMATICAL SURVEYS, 74(3), pp.387-430, ISSN: 0036-0279. DOI:
10.1070/RM9886.
Sorrentino, A and
Veselov, A (2019)
Markov numbers, Mather's beta-function and stable norm,
Nonlinearity, 32(6), pp.2147-2156, ISSN: 0951-7715. DOI:
10.1088/1361-6544/ab047d.
Spalding, K and
Veselov, A (2018)
Growth of values of binary quadratic forms and Conway rivers,
Bulletin of the London Mathematical Society, ISSN: 1469-2120. DOI:
10.1112/blms.12156.
Spalding, K and
Veselov, A (2018)
Conway river and Arnold sail,
Arnold Mathematical Journal, pp.1-9, ISSN: 2199-6792.
Spalding, K and
Veselov, AP (2017)
Lyapunov spectrum of Markov and Euclid trees,
Nonlinearity, 30(12), pp.4428-4453, ISSN: 0951-7715. DOI:
10.1088/1361-6544/aa88ff.
Matsuo, A and
Veselov, A (2017)
Universal formula for the Hilbert series of minimal nilpotent orbits,
Proceedings of the AMS, ISSN: 0002-9939. DOI:
10.1090/proc/13819.
Haese-Hill, W, Hallnas, M,
Veselov, A (2017)
On the spectra of real and complex Lame operators,
Symmetry, Integrability and Geometry: Methods and Applications, 13(049), ISSN: 1815-0659. DOI:
10.3842/SIGMA.2017.049.
Feigin, MV and
Veselov, AP (2017)
∨ -Systems, Holonomy Lie Algebras, and Logarithmic Vector Fields,
International Mathematics Research Notices, pp.rnw289-rnw289, ISSN: 1073-7928. DOI:
10.1093/imrn/rnw289.
Sergeev, AN and
Veselov, A (2017)
Orbits and invariants of super Weyl groupoid,
IMRN, ISSN: 1073-7928. DOI:
10.1093/imrn/rnw182.
Veselov, A and Sergeev, AN (2016)
Symmetric Lie superalgebras and deformed quantum Calogero-Moser problems,
Advances in Mathematics, 304, pp.728-768, ISSN: 0001-8708. DOI:
10.1016/j.aim.2016.09.009.
Haese-Hill, W,
Veselov, A, Hallnas, M (2016)
Complex exceptional orthogonal polynomials and quasi-invariance,
Letters in Mathematical Physics, ISSN: 1573-0530. DOI:
10.1007/s11005-016-0828-8.
Aguirre, L, Felder, G,
Veselov, A (2015)
Gaudin subalgebras and wonderful models,
Selecta Mathematica, New Series, pp.1-15, ISSN: 1022-1824. DOI:
10.1007/s00029-015-0213-y.
Veselov, AP and Sergeev, AN (2015)
Jack-Laurent symmetric functions for special values of parameters,
Glasgow Mathematical Journal, ISSN: 1469-509X. DOI:
10.1017/S0017089515000361.
Sergeev, AN and
Veselov, AP (2015)
Jack-Laurent symmetric functions,
Proceedings of the London Mathematical Society, 111(1), pp.63-92, ISSN: 0024-6115. DOI:
10.1112/plms/pdv023.
Schoebel, K and
Veselov, A (2015)
Separation coordinates, moduli spaces and Stasheff polytopes,
Communications in Mathematical Physics, 337(3), pp.1255-1274, ISSN: 0010-3616. DOI:
10.1007/s00220-015-2332-x.
Veselov, A and Sergeev, AN (2015)
Dunkl operators at infinity and Calogero-Moser systems,
International Mathematics Research Notices, 2015(21), pp.10959-10986, ISSN: 1073-7928. DOI:
10.1093/imrn/rnv002.
Veselov, A and Willox, R (2015)
Burchnall-Chaundy polynomials and the Laurent phenomenon,
Journal of Physics A: Mathematical and Theoretical, 48(20), pp.1-15, ISSN: 1751-8113. DOI:
10.1088/1751-8113/48/20/205201.
Schreiber, V,
Veselov, A, Ward, JP (2015)
In search for a perfect shape of polyhedra: Buffon transformation,
L’Enseignement Mathématique, 61(3), pp.261-284, ISSN: 0013-8584. DOI:
10.4171/LEM/61-3/4-1.
Kemp, GM and
Veselov, AP (2014)
On geometric quantization of the dirac magnetic monopole,
Journal of Nonlinear Mathematical Physics, 21(1), pp.34-42, ISSN: 1402-9251. DOI:
10.1080/14029251.2014.894719.
Sergeev, AN and
Veselov, AP (2014)
Jacobi-Trudy formula for generalized Schur polynomials,
Moscow Mathematical Journal, 14(1), pp.161-168, ISSN: 1609-3321. DOI:
10.17323/1609-4514-2014-14-1-161-168.
Schreiber, V and
Veselov, A (2014)
On deformation and classification of V-Systems,
Journal of Nonlinear Mathematical Physics, 21(4), pp.543-583, ISSN: 1402-9251. DOI:
10.1080/14029251.2014.975528.
Vershik, AM,
Veselov, AP, Gaifullin, AA, Dubrovin, BA, Zhizhchenko, AB, Krichever, IM, Mal'tsev, AA, Millionshchikov, DV, Novikov, SP, Panov, TE, Sergeev, AG, Taimanov, IA (2013)
Viktor Matveevich Buchstaber (on his 70th birthday),
Russian Mathematical Surveys, 68(3), pp.581-590, ISSN: 0036-0279. DOI:
10.1070/rm2013v068n03abeh004845.
Feigin, MV, Hallnas, MA,
Veselov, AP (2013)
Baker-Akhiezer functions and generalised Macdonald-Mehta integrals,
Journal of Mathematical Physics, 54(5), p.052106.
Hemery, AD (2012)
Periodic Vortex Streets and Complex Monodromy,
Symmetry, Integrability and Geometry: Methods and Applications, DOI:
10.3842/sigma.2014.114.
Felder, G, Hemery, AD,
Veselov, AP (2012)
Zeros of Wronskians of Hermite polynomials and Young diagrams,
Physica D: Nonlinear Phenomena, 241(23-24), pp.2131-2137, ISSN: 0167-2789. DOI:
10.1016/j.physd.2012.08.008.
Mkrtchyan, RL, Sergeev, AN,
Veselov, AP (2012)
Casimir eigenvalues for universal Lie algebra,
Journal of Mathematical Physics, 53(10), ISSN: 0022-2488. DOI:
10.1063/1.4757763.
Mkrtchyan, RL and
Veselov, AP (2012)
Universality in chern-simons theory,
Journal of High Energy Physics, 2012(8), ISSN: 1126-6708. DOI:
10.1007/JHEP08(2012)153.
Aguirre, L, Felder, G,
Veselov, AP (2011)
Gaudin subalgebras and stable rational curves,
COMPOSITIO MATHEMATICA, 147(5), pp.1463-1478, ISSN: 0010-437X. DOI:
10.1112/S0010437X11005306.
Mkrtchyan, RL and
Veselov, AP (2011)
On duality and negative dimensions in the theory of Lie groups and symmetric spaces,
JOURNAL OF MATHEMATICAL PHYSICS, 52(8), ARTN 083514, ISSN: 0022-2488. DOI:
10.1063/1.3625954.
Veselov, AP (2011)
On Darboux-Treibich-Verdier Potentials,
LETTERS IN MATHEMATICAL PHYSICS, 96(1-3), pp.209-216, ISSN: 0377-9017. DOI:
10.1007/s11005-010-0420-6.
Sergeev, AN and
Veselov, AP (2011)
Euler characters and super Jacobi polynomials,
ADVANCES IN MATHEMATICS, 226(5), pp.4286-4315, ISSN: 0001-8708. DOI:
10.1016/j.aim.2010.11.015.
Sergeev, AN and
Veselov, AP (2011)
Grothendieck rings of basic classical Lie superalgebras,
ANNALS OF MATHEMATICS, 173(2), pp.663-703, ISSN: 0003-486X. DOI:
10.4007/annals.2011.173.2.2.
Etingof, P, Felder, G, Ma, X,
Veselov, A (2011)
On elliptic Calogero-Moser systems for complex crystallographic reflection groups,
Journal of Algebra, 329, pp.107-129, ISSN: 0021-8693. DOI:
10.1016/j.jalgebra.2010.04.011.
Papageorgiou, VG, Suris, YB, Tongas, AG,
Veselov, AP (2010)
On quadrirational Yang-Baxter maps,
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 6, DOI:
10.3842/SIGMA.2010.033.
Hemery, AD and
Veselov, AP (2010)
Whittaker-Hill equation and semifinite-gap Schrödinger operators,
Journal of Mathematical Physics, 51(7), ISSN: 0022-2488. DOI:
10.1063/1.3455367.
Papageorgiou, VG, Suris, YB, Tongas, AG,
Veselov, AP (2010)
On Quadrirational Yang-Baxter Maps,
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 6, ARTN 033, ISSN: 1815-0659. DOI:
10.3842/SIGMA.2010.033.
Papageorgiou, VG, Suris, YB, Tongas, AG,
Veselov, AP (2010)
On quadrirational Yang-Baxter maps,
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 6, DOI:
10.3842/SIGMA.2010.033.
Felder, G and
Veselov, AP (2009)
Baker-Akhiezer function as iterated residue and Selberg-type integral,
Glasgow Math J.,, 51, pp.59-73.
Gibbons, J and
Veselov, AP (2009) On the rational monodromy-free potentials with sextic growth,
J. Math. Phys, 50(1), 013513.
Sergeev, AN and
Veselov, AP (2009)
BC-infinity Calogero-Moser operator and super Jacobi polynomials,
Adv.Math, 222, pp.1687-1726.
Grosset, MP and
Veselov, AP (2008)
Periodic continued fractions and hyperelliptic curves,
J.London Math. Soc, 2(77), pp.593-606.
Feigin, MV and
Veselov, AP (2008)
On the geometry of V-systems,
Amer.Math. Soc. Transl, 2(224), pp.111-123.
Veselov, AP (2008) A few things I learnt from Jurgen Moser,
Regular and Chaotic Dynamics, 13(6), pp.515-524.
Sergeev, AN and
Veselov, AP (2008)
Deformed Macdonald-Ruijsenaars operators and super Macdonald polynomials,
Comm. Math. Phys.,, 288, pp.653-675.
Grosset, MP and
Veselov, AP (2008)
Lame equation, quantum Euler top and elliptic Bernoulli polynomials,
Proc. Edinburgh Math. Soc. (Ser. 2), 51(03), pp.635-650.
Veselov, AP and Feigin, MV (2007)
Logarithmic Frobenius structures and Coxeter discriminants,
Advances in Mathematics, 212(1), pp.143-162, DOI:
10.1016/j.aim.2006.08.010.
Veselov, AP (2007)
Yang-Baxter maps:dynamical point of view,
Combinatorial aspect of integrable systems, MSJ Memoirs, 17, pp.145-167.
Feigin, MV and
Veselov, AP (2007) Coxeter discriminants and logarithmic Frobenius structures,
Advances in Math, 212(1), pp.143-162.
Felder, G and
Veselov, AP (2007)
Polynomial solutions of the Knizhnik--Zamolodchikov equations and Schur--Weyl duality,
IMRN, 21 pages.
Bolsinov, A, Dullin, HR,
Veselov, AP (2006)
Spectra of Sol-manifolds: arithmetic and quantum monodromy,
Communications in Mathematical Physics, 264(3), pp.583-611, ISSN: 1432-0916. DOI:
10.1007/s00220-006-1543-6.
Papageorgiou, VG, Tongas, AG,
Veselov, AP (2006) Yang-Baxter maps and symmetries of integrable equations on quad-graphs,
J. Math. Physics, 47, p.083502.
Grosset, M-P and
Veselov, AP (2006)
Elliptic Faulhaber polynomials and Lame densities of states,
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2006, ARTN 62120, ISSN: 1073-7928.
Sergeev, AN and
Veselov, AP (2005)
Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials,
Advances in Mathematics, 192(2), pp.341-375, ISSN: 1090-2082. DOI:
10.1016/j.aim.2004.04.009.
Felder, G and
Veselov, AP (2005)
Coxeter group actions on the complement of hyperplanes and special involutions,
Journal of the European Mathematical Society, 7, pp.101-116.
Veselov, AP and Ward, JJP (2005)
On the real zeroes of the Hurwitz zeta-function and Bernoulli polynomials,
Journal of Mathematical Analysis and Applications, 305, pp.712-721.
Chalykh, OA and
Veselov, AP (2005) Remark on rational isochronous potentials,
Journal of Nonlinear Mathematical Physics, 12(suppl. 1), pp.179-183.
Grosset, MP and
Veselov, AP (2005)
Bernoulli numbers and solutons,
Journal of Nonlinear Mathematical Physics, 12(4), pp.469-474.
Alder, VE and
Veselov, AP (2004)
Cauchy problem for integrable descrete equation on quad-graphs,
Acta Applicandae Mathematicae, 84, pp.237-262.
Adler, VE and
Veselov, AP (2004)
Cauchy Problem for Integrable Discrete Equations on Quad-Graphs,
Acta Applicandae Mathematicae, 84(2), pp.237-262, ISSN: 0167-8019. DOI:
10.1007/s10440-004-5557-9.
Sergeev, AN and
Veselov, AP (2004)
Deformed quantum Calogero-Moser problems and Lie superalgebras,
Communications in Mathematical Physics, 245(2), pp.249-278, ISSN: 1432-0916. DOI:
10.1007/s00220-003-1012-4.
Bolibrukh, AA,
Veselov, AP, Zhizhchenko, AB, Krichever, IM, Mal'tsev, AA, Novikov, SP, Panov, TE, Smirnov, YM (2003)
Viktor Matveevich Bukhshtaber - (on his 60th birthday),
RUSSIAN MATHEMATICAL SURVEYS, 58(3), pp.627-635, ISSN: 0036-0279. DOI:
10.1070/RM2003v058n03ABEH000640.
Penskoi, AV and
Veselov, AP (2003) Discrete Lagrangian systems on Virasoro group and Camassa-Holm family,
Nonlinearity, 16, pp.683-688, ISSN: 0951-7715.
Veselov, AP (2003)
Yang-Baxter maps and integrable dynamics,
Physics Letters A, 314, pp.214-221, ISSN: 0375-9601.
Feigin, M and
Veselov, AP (2003) Quasi-invariants and quantum integrals of the deformed Calogero-Moser systems,
International Mathematics Research Notices, 46, pp.2487-2511, ISSN: 1073-7928.
Suris, Y and
Veselov, AP (2003) Lax matrices for Yang-Baxter maps,
Journal of Nonlinear Mathematical Physics, 10(2), pp.223-230.
Felder, G and
Veselov, AP (2003)
ACTION OF COXETER GROUPS ON m-HARMONIC POLYNOMIALS AND KNIZHNIK-ZAMOLODCHIKOV EQUATIONS,
MOSCOW MATHEMATICAL JOURNAL, 3(4), pp.1269-1291, ISSN: 1609-3321. DOI:
10.17323/1609-4514-2003-3-4-1269-1291.
Feigin, MV and
Veselov, AP (2002)
Quasi-invariants of Coxeter groups and m-harmonic polynomials,
International Mathematics Research Notices, 10, pp.521-545, ISSN: 1073-7928.
Moser, J and
Veselov, AP (2002)
Two-dimensional "discrete hydrodynamics" and Monge-Ampere equation,
Ergodic Theory and Dynamical Systems, 22, pp.1575-1583, ISSN: 0143-3857.
Veselov, AP (2002) On generalisations of Calogero-Moser-Sutherland quantum problem and WDVV Equations,
Journal of Mathematical Physics, 43(11), pp.1-8.
Fairlie, DB and
Veselov, AP (2001) Faulhaber and Bernoulli polynomials and solitons,
Physica D, 152-153, pp.47-50, ISSN: 0167-2789.
Dullin, HR, Richter, PH,
Veselov, AP, Waalkens, H (2001)
Actions of the Neumann systems via Picard-Fuchs equations,
Physica D, 155, pp.159-183.
Veselov, AP (2001)
On Stieltjes relations, PIV hierarchy and complex monodromy,
Journal of Physics A: Mathematics and General, 34, pp.3511-3519, ISSN: 0305-4470.
Ferapontov, EV and
Veselov, AP (2001)
Integrable Schroedinger operators with magnetic fields: factorization method on curved surfaces,
Journal of Mathematical Physics, 42(2), pp.590-607, ISSN: 0022-2488.
Chalykh, OA and
Veselov, AP (2001) Locus configurations and V-systems,
Physics Letters A, 285, pp.339-349, ISSN: 0375-9601.
Berest, Y and
Veselov, A (2000)
On the Structure of Singularities of Integrable Schrödinger Operators,
Letters in Mathematical Physics, 52(2), pp.103-111, ISSN: 0377-9017. DOI:
10.1023/A:1007656025201.
Veselov, AP and Penskoi, AV (1999) Algebraic-geometric poisson brackets for difference operators and Volterra systems,
Doklady Mathematics, 59(3), pp.391-394, ISSN: 1064-5624.
Chalykh, OA, Feigin, MV,
Veselov, AP (1999)
Multidimensional Baker-Akhiezer Functions and Huygens' Principle,
Communications in Mathematical Physics, 206, pp.533-566, ISSN: 0010-3616.
Veselov, AP (1999)
Deformations of the Root Systems and New Solutions to Generalised WDVV Equations,
Physics Letters A, 261, pp.297-302.
Chalykh, OA, Gontcharenko, VM,
Veselov, AP (1999)
Multidimensional Integrable Schrodinger Operators with Matrix Potential,
Journal of Mathematical Physics, 40(11), pp.5341-5355, ISSN: 0022-2488.
Veselov, AP and Penskoi, AV (1999) Algebro-Geometric Poisson Brackets for the Difference Operators and Volterra System,
Doklady Academii Nauk, 366(3), pp.299-303.
Goncharenko, VM and
Veselov, AP (1998) Monodromy of the Matrix Schrodinger Equation and Darboux Transformations,
Journal of Physics A: Mathematical and General, 31, pp.5315-5326, ISSN: 0305-4470.
Dullin, HP, Richter, PH,
Veselov, AP (1998) Action Variables of the Kovalevskaya Top,
Regular and Chaotic Dynamics, 3(3), pp.18-31.
Veselov, AP and Penskoi, AV (1998) On Algebro-Geometric Poisson Brackets for the Volterra Lattice,
Regular and Chaotic Dynamics, 3(2), pp.3-9.
Yu, BY and
Veselov, AP (1998) On the Singularities of the Potentials of Exactly Solvable Schrödinger Equations and the Hadamard Problem,
Russian Mathematical Surveys, 53(1), pp.PP 211-212.
Chalykh, OA, Feigin, MV,
Veselov, AP (1998) New Integrable Generalizations of Calogero-Moser Quantum Problem,
Journal of Mathematical Physics, 39(2), pp.695-703, ISSN: 0022-2488.
Buchstaber, VM and
Veselov, AP (1996) On a Remarkable Functional Equation in the Theory of Generalised Dunkl Operators and Transformations of Elliptic Genera,
Mathematische Zeitschrift, 223, pp.595-607.
Veselov, AP and Dynnikov, IA (1996) Integrable Gradient Flows and Morse Theory,
Algebra and Analysis (St Petersburg Mathematical Journal), 8(3), pp.75-99.
Chalykh, OA and
Veselov, AP (1996) Integrability and Huygens' Principle on Symmetric Spaces,
Communications in Mathematical Physics, 178, pp.311-338.
Buchstaber, VM and
Veselov, AP (1996) Integrable Correspondences and Algebraic Representations of Multivalued Groups,
International Mathematics Research Notices, 8, pp.381-400.
Veselov, AP, Feigin, MV, Chalykh, OA (1996) New Integrable Deformations of Quantum Calogero-Moser Systems,
Russian Mathematical Surveys, 51(3), pp.185-186.
Veselov, AP (1995) Huygens' Principle and Algebraic Schrödinger Operators,
American Mathematical Society Translations, 170(2), pp.199-206.
Veselov, AP (1995) Huygens' Principle and Integrable Systems,
Physica D, 87, pp.9-13.
Fordy, AP, Shabat, AB,
Veselov, AP (1995) Factorization and Poisson Correspondences,
Theoretical and Mathematical Physics, 105(2), pp.225-245.
Veselov, AP and Novikov, SP (1995) Exactly Solvable Periodic Two-Dimensional Schrödinger Operators,
Uspekhi Matematicheskikh Nauk, 50(6), pp.171-172.
VESELOV, AP (1994)
2 REMARKS ABOUT THE CONNECTION OF JACOBI AND NEUMANN INTEGRABLE SYSTEMS,
MATHEMATISCHE ZEITSCHRIFT, 216(3), pp.337-345, ISSN: 0025-5874. DOI:
10.1007/BF02572325.
Felder, G and
Veselov, AP (1994) Shift Operator For Calogero-Sutherland Quantum Problem via Knizhnik-Zamolodchikov Equation,
Communications in Mathematical Physics, 160, pp.259-274.
Veselov, AP (1994) Two Remarks About the Connection of Jacobi and Neumann Integrable Systems,
Mathematische Zeitschrift, 216, pp.337-345.
Veselov, AP (1994) Calogero Quantum Problem, Knizhnik-Zamolodchikov Equation and Huygens Principle,
Theoretical and Mathematical Physics, 98(3), pp.524-535.
Buchstaber, VM, Felder, G,
Veselov, AP (1994) Elliptic Dunkl Operators, Root Systems and Functional Equations,
Duke Mathematical Journal, 76(3), pp.885-911.
Buchstabler, VM and
Veselov, AP (1994) Dunkl Operators, Functional Equations and Transformations of Elliptic Genera,
Russian Mathematical Surveys, 49(2), pp.147-148.
Yu, BY and
Veselov, AP (1994) Huygens' Principle and Integrability,
Russian Mathematical Surveys, 49(6), pp.5-75, ISSN: 0036-0279.
Yu, BY and
Veselov, AP (1994) Hadamard Problem and Coxeter Groups: New Examples of Huygensian Equations,
Functional Analysis and its Applications, 28(1), pp.3-12.
BEREST, YY and
VESELOV, AP (1993)
THE HUYGENS PRINCIPLE AND COXETER GROUPS,
RUSSIAN MATHEMATICAL SURVEYS, 48(3), pp.183-184, ISSN: 0036-0279. DOI:
10.1070/RM1993v048n03ABEH001036.
Chalykh, OA and
Veselov, AP (1993) Integrability in the Theory of Schrödinger Operator and Harmonic Analysis,
Communications in Mathematical Physics, 152, pp.29-40.
Veselov, AP and Shabat, AB (1993) Dressing Chain and Spectral Theory of Schrödinger Operator,
Functional Analysis and its Applications, 27(2), pp.81-96, ISSN: 0016-2663.
Veselov, AP, Styrkas, KL, Chalykh, OA (1993) Algebraic Integrability for the Schrödinger Equation and Finite Reflection Groups,
Theoretical and Mathematical Physics, 94(2), pp.182-197, ISSN: 0040-5779.
Yu, BY and
Veselov, AP (1993) Huygens' Principle and Coxeter Groups,
Russian Mathematical Surveys, 48(3), pp.181-182.
Veselov, AP (1992) Growth and Integrability in the Dynamics of Mappings,
Communications in Mathematical Physics, 145, pp.181-193, ISSN: 0010-3616.
Veselov, AP and Chalykh, OA (1992) Explicit Formulas for the Spherical Functions of the Symmetric Spaces of Type AII,
Functional Analysis and its Applications, 26(3), pp.59-61.
Veselov, AP (1992) Parametric Resonance and Geodesics on the Ellipsoid,
Functional Analysis and its Applications, 26(3), pp.211-213.
VESELOV, AP (1991)
INTEGRABLE MAPS,
RUSSIAN MATHEMATICAL SURVEYS, 46(5), pp.1-51, ISSN: 0036-0279. DOI:
10.1070/RM1991v046n05ABEH002856.
VESELOV, AP (1991)
INTEGRABLE LAGRANGIAN CORRESPONDENCES AND THE FACTORIZATION OF MATRIX POLYNOMIALS,
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 25(2), pp.112-122, ISSN: 0016-2663. DOI:
10.1007/BF01079590.
Veselov, AP (1991)
Growth of the number of images of a point under iterates of a multivalued map,
Mathematical Notes of the Academy of Sciences of the USSR, 49(2), pp.134-139, ISSN: 0001-4346. DOI:
10.1007/BF01137542.
MOSER, J and
VESELOV, AP (1991)
DISCRETE VERSIONS OF SOME CLASSICAL INTEGRABLE SYSTEMS AND FACTORIZATION OF MATRIX POLYNOMIALS,
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 139(2), pp.217-243, ISSN: 0010-3616. DOI:
10.1007/BF02352494.
CHALYKH, OA and
VESELOV, AP (1990)
COMMUTATIVE RINGS OF PARTIAL-DIFFERENTIAL OPERATORS AND LIE-ALGEBRAS,
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 126(3), pp.597-611, ISSN: 0010-3616. DOI:
10.1007/BF02125702.
Veselov, AP (1990)
Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space,
Journal of Geometry and Physics, 7(1), pp.81-107, ISSN: 0393-0440. DOI:
10.1016/0393-0440(90)90021-T.
Veselov, AP and Veselova, LE (1988)
Integrable nonholonomic systems on Lie groups,
Mathematical Notes of the Academy of Sciences of the USSR, 44(5), pp.810-819, ISSN: 0001-4346. DOI:
10.1007/BF01158420.
VESELOV, AP (1988)
INTEGRABLE DISCRETE-TIME-SYSTEMS AND DIFFERENCE-OPERATORS,
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 22(2), pp.83-93, ISSN: 0016-2663. DOI:
10.1007/BF01077598.
VESELOV, AP (1987)
ON TIME SUBSTITUTION IN INTEGRABLE SYSTEMS,
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, (5), pp.25-29, ISSN: 0579-9368.
VESELOV, AP (1987)
INTEGRATION OF THE STATIONARY PROBLEM FOR A CLASSICAL SPIN CHAIN,
THEORETICAL AND MATHEMATICAL PHYSICS, 71(1), pp.446-450, ISSN: 0040-5779. DOI:
10.1007/BF01029106.
VESELOV, AP (1987)
INTEGRABLE MAPPINGS AND LIE-ALGEBRAS,
DOKLADY AKADEMII NAUK SSSR, 292(6), pp.1289-1291, ISSN: 0002-3264.
VESELOV, AP and VESELOVA, LE (1986)
CURRENTS ON LIE-GROUPS WITH NONHOLONOMIC CONNECTION AND INTEGRABLE NONHAMILTONIAN SYSTEMS,
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 20(4), pp.308-309, ISSN: 0016-2663.
NOVIKOV, SP and
VESELOV, AP (1986)
TWO-DIMENSIONAL SCHRODINGER OPERATOR - INVERSE SCATTERING TRANSFORM AND EVOLUTIONAL EQUATIONS,
PHYSICA D, 18(1-3), pp.267-273, ISSN: 0167-2789. DOI:
10.1016/0167-2789(86)90187-9.
VESELOV, AP and TAKHTADZHIAN, LA (1984)
INTEGRABILITY OF NOVIKOV EQUATIONS FOR PRINCIPAL CHIRAL-FIELDS WITH MULTIVALUED LAGRANGIAN,
DOKLADY AKADEMII NAUK SSSR, 279(5), pp.1097-1100, ISSN: 0002-3264.
VESELOV, AP and NOVIKOV, SP (1984)
FINITE-GAP TWO-DIMENSIONAL SCHRODINGER-OPERATORS - POTENTIAL-OPERATORS,
DOKLADY AKADEMII NAUK SSSR, 279(4), pp.784-788, ISSN: 0002-3264.
VESELOV, AP and NOVIKOV, SP (1984)
FINITE-GAP TWO-DIMENSIONAL SCHRODINGER POTENTIAL-OPERATORS - EXPLICIT FORMULAS AND EVOLUTIONAL EQUATIONS,
DOKLADY AKADEMII NAUK SSSR, 279(1), pp.20-24, ISSN: 0002-3264.
VESELOV, AP (1984)
CNOIDAL SOLUTIONS OF THE LANDAU-LIFSHITS EQUATION FOR A BISUBLATTICE MAGNETIC,
DOKLADY AKADEMII NAUK SSSR, 276(3), pp.590-593, ISSN: 0002-3264.
VESELOV, AP (1983)
STRUCTURE OF AXISYMMETRIC SOLITON-SOLUTIONS OF EINSTEIN EQUATIONS,
THEORETICAL AND MATHEMATICAL PHYSICS, 54(2), pp.155-160, ISSN: 0040-5779. DOI:
10.1007/BF01129188.
VESELOV, AP (1983)
THE CONDITIONS OF THE EULER EQUATION INTEGRABILITY ON SO(4),
DOKLADY AKADEMII NAUK SSSR, 270(6), pp.1298-1300, ISSN: 0002-3264.
VESELOV, AP (1983)
LANDAU-LIFSHITS EQUATION AND THE INTEGRABLE SYSTEMS OF CLASSICAL MECHANICS,
DOKLADY AKADEMII NAUK SSSR, 270(5), pp.1094-1097, ISSN: 0002-3264.
VESELOV, AP and NOVIKOV, SP (1982)
ON POISSON BRACKETS COMPATIBLE WITH ALGEBRAIC-GEOMETRY AND KORTEWEG-DEVRIES DYNAMICS ON THE SET OF FINITE-GAP POTENTIALS,
DOKLADY AKADEMII NAUK SSSR, 266(3), pp.533-537, ISSN: 0002-3264.
VESELOV, AP (1982)
DYNAMICS OF THE SINGULARITIES OF SOLUTIONS OF SOME NON-LINEAR EQUATIONS,
THEORETICAL AND MATHEMATICAL PHYSICS, 50(3), pp.314-316, ISSN: 0040-5779. DOI:
10.1007/BF01016464.
VESELOV, AP (1980)
RATIONAL SOLUTIONS OF THE KADOMTSEV-PETVIASHVILI EQUATION AND HAMILTONIAN-SYSTEMS,
RUSSIAN MATHEMATICAL SURVEYS, 35(1), pp.239-240, ISSN: 0036-0279. DOI:
10.1070/RM1980v035n01ABEH001617.
Veselov, AP (1980)
Finite-zone potentials and integrable systems on a sphere with quadratic potential,
Functional Analysis and Its Applications, 14(1), pp.37-39, ISSN: 0016-2663. DOI:
10.1007/BF01078414.
Veselov, AP (1979)
Hamiltonian formalism for the Novikov-Krichever equations for the commutativity of two operators,
Functional Analysis and Its Applications, 13(1), pp.1-6, ISSN: 0016-2663. DOI:
10.1007/BF01076433.
