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Veselov, Alexander Petrovich

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Author ID: veselov.alexander-p Recent zbMATH articles by "Veselov, Alexander Petrovich"
Published as: Veselov, A.; Veselov, A. P.; Veselov, Alexander; Veselov, Alexander P.
Homepage: http://www.lboro.ac.uk/departments/maths/staff/academic/alexander-veselov/
External Links: MGP · Math-Net.Ru · ORCID
Documents Indexed: 151 Publications since 1979
Biographic References: 1 Publication
all top 5

Co-Authors

39 single-authored
15 Sergeev, Aleksandr Nikolaevich
12 Novikov, Sergeĭ Petrovich
11 Chalykh, Oleg A.
10 Felder, Giovanni
9 Feigin, Misha V.
6 Bukhshtaber, Viktor Matveevich
5 Berest, Yuri Yu.
4 Grosset, Marie-Pierre
3 Dullin, Holger R.
3 Goncharenko, V. M.
3 Hallnäs, Martin A.
3 Hemery, Adrian D.
3 Krichever, Igor’ Moiseevich
3 Mkrtchyan, Ruben L.
3 Penskoi, Alexei V.
3 Spalding, K.
3 Veselova, L. E.
2 Aguirre, Leonardo
2 Dynnikov, Ivan Alekseevich
2 Haese-Hill, William A.
2 Kemp, Graham M.
2 Moser, Jürgen K.
2 Papageorgiou, Vassilios G.
2 Richter, Peter H.
2 Schreiber, Veronika
2 Shabat, Alekseĭ Borisovich
2 Suris, Yuri Borisovich
2 Tongas, Anastasios G.
2 Vershik, Anatoliĭ Moiseevich
2 Ward, Joseph P.
2 Zhizhchenko, Alexey B.
1 Adler, Vsevolod Eduardovich
1 Astashov, A. M.
1 Astashova, Irina Viktorovna
1 Bocharov, Alexei V.
1 Bolibrukh, Andreĭ Andreevich
1 Bolsinov, Alexey V.
1 Chetverikov, Vladimir N.
1 Dubrovin, Boris Anatol’evich
1 Etingof, Pavel Il’ich
1 Fairlie, David B.
1 Ferapontov, Evgeny Vladimirovich
1 Fordy, Allan P.
1 Fuchs, Dmitry Borisovich
1 Gaifullin, Alexander A.
1 Gibbons, John
1 Helemskii, Alexander Ya.
1 Kac, Victor G.
1 Karabanov, V. A.
1 Kasatani, Masahiro
1 Khor’kova, Nina Grigor’evna
1 Kosmann-Schwarzbach, Yvette
1 Krasil’shchik, Iosif Semënovich
1 Krishchenko, Alexander P.
1 Lando, Sergei K.
1 Lychagin, Valentin V.
1 Ma, Xiaoguang
1 Mal’tsev, Arkadiĭ Anatol’evich
1 Marvan, Michal
1 Maslov, Viktor Pavlovich
1 Matsuo, Akihiko
1 Millionshchikov, Dmitriĭ Vladimirovich
1 Mishchenko, Aleksandr Sergeevich
1 Miwa, Tetsuji
1 Panov, Taras E.
1 Rubtsov, Vladimir Nikolaevich
1 Samokhin, Alexey V.
1 Schöbel, Konrad P.
1 Schwarz, Albert S.
1 Sergeev, Armen Glebovich
1 Serov, V. A.
1 Sivtsov, V. I.
1 Sorrentino, Alfonso
1 Sosinskiĭ, Alekseĭ Bronislavovich
1 Stasheff, James D.
1 Styrkas, K. L.
1 Taimanov, Iskander Asanovich
1 Vasil’ev, Viktor Anatol’evich
1 Verbovetsky, Alexander Moiseevich
1 Vinogradov, Michael M.
1 Vitagliano, Luca
1 Vitolo, Raffaele F.
1 Voronov, E. M.
1 Voronov, Theodore
1 Vysotskij, A. A.
1 Waalkens, Holger
1 Willox, Ralph
1 Ye, Yisong
all top 5

Serials

12 Russian Mathematical Surveys
11 Communications in Mathematical Physics
10 Journal of Mathematical Physics
9 Functional Analysis and its Applications
8 IMRN. International Mathematics Research Notices
6 Soviet Mathematics. Doklady
5 Advances in Mathematics
5 Physica D
5 Journal of Nonlinear Mathematical Physics
4 Letters in Mathematical Physics
4 Theoretical and Mathematical Physics
3 Nonlinearity
3 Physics Letters. A
3 Regular and Chaotic Dynamics
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Mathematical Notes
2 Matematicheskie Zametki
2 Uspekhi Matematicheskikh Nauk [N. S.]
2 Funktsional’nyĭ Analiz i ego Prilozheniya
2 Glasgow Mathematical Journal
2 Mathematische Zeitschrift
2 Journal of Physics A: Mathematical and General
2 Moscow Mathematical Journal
1 Journal of Mathematical Analysis and Applications
1 Moscow University Mathematics Bulletin
1 Teoreticheskaya i Matematicheskaya Fizika
1 Journal of Geometry and Physics
1 Bulletin of the London Mathematical Society
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Journal of Algebra
1 Journal of the London Mathematical Society. Second Series
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Ergodic Theory and Dynamical Systems
1 Acta Applicandae Mathematicae
1 Algebra i Analiz
1 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali
1 L’Enseignement Mathématique. 2e Série
1 Voprosy Kibernetiki (Moskva)
1 St. Petersburg Mathematical Journal
1 Selecta Mathematica. New Series
1 Doklady Mathematics
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Journal of High Energy Physics
1 Proceedings of the Steklov Institute of Mathematics
1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova
1 Journal of Physics A: Mathematical and Theoretical
1 Arnold Mathematical Journal

Publications by Year

Citations contained in zbMATH Open

128 Publications have been cited 1,622 times in 1,033 Documents Cited by Year
Discrete versions of some classical integrable systems and factorization of matrix polynomials. Zbl 0754.58017
Moser, Jürgen; Veselov, Alexander P.
141
1991
Integrable maps. Zbl 0785.58027
Veselov, A. P.
88
1991
Dressing chains and the spectral theory of the Schrödinger operator. Zbl 0813.35099
Veselov, A. P.; Shabat, A. B.
86
1993
Integrable discrete-time systems and difference operators. Zbl 0694.58020
Veselov, A. P.
63
1988
Commutative rings of partial differential operators and Lie algebras. Zbl 0746.47025
Chalykh, O. A.; Veselov, A. P.
56
1990
Finite-zone, two-dimensional, potential Schrödinger operators. Explicit formulas and evolution equations. Zbl 0613.35020
Veselov, A. P.; Novikov, S. P.
48
1984
Yang-Baxter maps and integrable dynamics. Zbl 1051.81014
Veselov, A. P.
33
2003
Finite-zone, two-dimensional Schrödinger operators. Potential operators. Zbl 0602.35024
Veselov, A. P.; Novikov, S. P.
33
1984
Deformed quantum Calogero-Moser problems and Lie superalgebras. Zbl 1062.81097
Sergeev, A. N.; Veselov, A. P.
32
2004
New integrable generalizations of the Calogero-Moser quantum problem. Zbl 0906.34061
Chalykh, O.; Feigin, M.; Veselov, A.
30
1998
Two-dimensional Schrödinger operator: inverse scattering transform and evolutional equations. Zbl 0609.35082
Novikov, S. P.; Veselov, A. P.
30
1986
Growth and integrability in the dynamics of mappings. Zbl 0751.58034
Veselov, Alexander P.
28
1992
Multidimensional Baker-Akhiezer functions and Huygens’ principle. Zbl 0972.35110
Chalykh, O. A.; Feigin, M. V.; Veselov, A. P.
27
1999
Elliptic Dunkl operators, root systems, and functional equations. Zbl 0842.35128
Buchstaber, V. M.; Felder, G.; Veselov, A. P.
23
1994
Algebraic integrability for the Schrödinger equation and finite reflection groups. Zbl 0805.47070
Veselov, A. P.; Styrkas, K. L.; Chalykh, O. A.
23
1993
Integrable nonholonomic systems on Lie groups. Zbl 0694.58021
Veselov, A. P.; Veselova, L. E.
23
1988
Zeros of Wronskians of Hermite polynomials and Young diagrams. Zbl 1258.33005
Felder, G.; Hemery, A. D.; Veselov, A. P.
22
2012
Integrable Schrödinger operators with magnetic fields: Factorization method on curved surfaces. Zbl 1013.81007
Ferapontov, E. V.; Veselov, A. P.
22
2001
Huygens’ principle and integrability. Zbl 0941.35003
Berest, Yu. Yu.; Veselov, A. P.
22
1994
Hamiltonian formalism for the Novikov-Krichever equations for the commutativity of two operators. Zbl 0423.70018
Veselov, A. P.
21
1979
Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials. Zbl 1069.05076
Sergeev, A. N.; Veselov, A. P.
20
2005
Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space. Zbl 0729.58029
Veselov, Alexander P.
20
1990
Integrable mappings. Zbl 0746.58033
Veselov, A. P.
19
1991
Quasi-invariants of Coxeter groups and \(m\)-harmonic polynomials. Zbl 1009.20044
Feigin, M.; Veselov, A. P.
18
2002
Deformations of the root systems and new solutions to generalised WDVV equations. Zbl 0951.37028
Veselov, A. P.
18
1999
Integrable Lagrangian correspondences and the factorization of matrix polynomials. Zbl 0731.58034
Veselov, A. P.
18
1991
Yang-Baxter maps and symmetries of integrable equations on quad-graphs. Zbl 1112.82017
Papageorgiou, Vassilios G.; Tongas, Anastasios G.; Veselov, Alexander P.
17
2006
On Stieltjes relations, Painlevé-IV hierarchy and complex monodromy. Zbl 1045.34060
Veselov, A. P.
17
2001
\(BC_\infty \) Calogero-Moser operator and super Jacobi polynomials. Zbl 1220.33014
Sergeev, A. N.; Veselov, A. P.
16
2009
A remark on rational isochronous potentials. Zbl 1362.70012
Chalykh, Oleg A.; Veselov, Alexander P.
16
2005
Integrability in the theory of Schrödinger operator and harmonic analysis. Zbl 0767.35066
Chalykh, Oleg A.; Veselov, Alexander P.
16
1993
Hadamard’s problem and Coxeter groups: New examples of Huygens’ equations. Zbl 0845.35062
Berest, Yu. Yu.; Veselov, A. P.
15
1994
Integrable systems with discrete time and difference operators. Zbl 0661.58012
Veselov, A. P.
15
1988
New integrable deformations of the Calogero-Moser quantum problem. Zbl 0874.35098
Veselov, A. P.; Feigin, M. V.; Chalykh, O. A.
14
1996
Lax matrices for Yang-Baxter maps. Zbl 1362.39016
Suris, Yuri B.; Veselov, Alexander P.
13
2003
What is an integrable mapping? Zbl 0733.58025
Veselov, A. P.
13
1991
Universality in Chern-Simons theory. Zbl 1397.81326
Mkrtchyan, R. L.; Veselov, A. P.
12
2012
Integrable correspondences and algebraic representations of multivalued groups. Zbl 0885.58018
Buchstaber, V. M.; Veselov, A. P.
12
1996
Dunkl operators at infinity and Calogero-Moser systems. Zbl 1329.81433
Sergeev, Alexander N.; Veselov, Alexander P.
11
2015
Casimir eigenvalues for universal Lie algebra. Zbl 1331.17007
Mkrtchyan, R. L.; Sergeev, A. N.; Veselov, A. P.
11
2012
Gaudin subalgebras and stable rational curves. Zbl 1228.14025
Aguirre, Leonardo; Felder, Giovanni; Veselov, Alexander P.
11
2011
Logarithmic Frobenius structures and Coxeter discriminants. Zbl 1123.53045
Feigin, M. V.; Veselov, A. P.
11
2007
Shift operators for the quantum Calogero-Sutherland problems via Knizhnik-Zamolodchikov equation. Zbl 0811.35105
Felder, Giovanni; Veselov, Alexander P.
11
1994
Integrable non-holonomic systems on Lie groups. Zbl 0662.58020
Veselov, A. P.; Veselova, L. E.
11
1988
Elliptic Faulhaber polynomials and Lamé densities of states. Zbl 1142.37042
Grosset, M.-P.; Veselov, A. P.
10
2006
Yang-Baxter maps and matrix solitons. Zbl 1061.35091
Goncharenko, V. M.; Veselov, A. P.
10
2004
Currents on Lie groups with nonholonomic connection and integrable non- Hamiltonian systems. Zbl 0621.58024
Veselov, A. P.; Veselova, L. E.
10
1986
Poisson brackets and complex tori. Zbl 0565.58022
Veselov, A. P.; Novikov, S. P.
10
1984
Separation coordinates, moduli spaces and Stasheff polytopes. Zbl 1349.58014
Schöbel, K.; Veselov, A. P.
9
2015
Jacobi-Trudy formula for generalized Schur polynomials. Zbl 1297.05244
Sergeev, A. N.; Veselov, A. P.
9
2014
On quadrirational Yang-Baxter maps. Zbl 1190.14012
Papageorgiou, V. G.; Suris, Yu. B.; Tongas, A. G.; Veselov, A. P.
9
2010
Yang-Baxter maps: dynamical point of view. Zbl 1232.81023
Veselov, Alexander
9
2007
Action of Coxeter groups on \(m\)-harmonic polynomials and Knizhnik-Zamolodchikov equations. Zbl 1056.32013
Felder, G.; Veselov, A. P.
9
2003
Actions of the Neumann systems via Picard-Fuchs equations. Zbl 1001.70013
Dullin, Holger R.; Richter, Peter H.; Veselov, Alexander P.; Waalkens, Holger
9
2001
Exactly solvable two-dimensional Schrödinger operators and Laplace transformations. Zbl 0922.35141
Novikov, S. P.; Veselov, A. P.
9
1997
Integrable mappings and Lie algebras. Zbl 0631.32024
Veselov, A. P.
9
1987
Grothendieck rings of basic classical Lie superalgebras. Zbl 1278.17006
Sergeev, Alexander N.; Veselov, Alexander P.
8
2011
On the geometry of \(V\)-systems. Zbl 1155.37038
Feigin, M.; Veselov, A. P.
8
2008
Spectra of Sol-manifolds: Arithmetic and quantum monodromy. Zbl 1109.58027
Bolsinov, A. V.; Dullin, H. R.; Veselov, A. P.
8
2006
On the real zeroes of the Hurwitz zeta-function and Bernoulli polynomials. Zbl 1073.11060
Veselov, A. P.; Ward, J. P.
8
2005
Faulhaber and Bernoulli polynomials and solitons. Zbl 0984.37083
Fairlie, D. B.; Veselov, A. P.
8
2001
Locus configurations and \(\lor{}\)-systems\(^{\star{}}\). Zbl 0969.35529
Chalykh, O. A.; Veselov, A. P.
8
2001
On the singularities of potentials of exactly soluble Schrödinger equations and on Hadamard’s problem. Zbl 0918.35041
Berest, Yu. Yu.; Veselov, A. P.
8
1998
Monodromy of matrix Schrödinger equations and Darboux transformations. Zbl 0921.34077
Goncharenko, V. M.; Veselov, A. P.
8
1998
On duality and negative dimensions in the theory of Lie groups and symmetric spaces. Zbl 1272.53045
Mkrtchyan, Ruben L.; Veselov, Alexander P.
7
2011
On elliptic Calogero-Moser systems for complex crystallographic reflection groups. Zbl 1243.14036
Etingof, Pavel; Felder, Giovanni; Ma, Xiaoguang; Veselov, Alexander
7
2011
On the rational monodromy-free potentials with sextic growth. Zbl 1200.34108
Gibbons, John; Veselov, A. P.
7
2009
Deformed Macdonald-Ruijsenaars operators and super Macdonald polynomials. Zbl 1180.33024
Sergeev, A. N.; Veselov, A. P.
7
2009
Lamé equation, quantum Euler top and elliptic Bernoulli polynomials. Zbl 1178.11026
Grosset, M.-P.; Veselov, A. P.
7
2008
Bernoulli numbers and solitons. Zbl 1084.11008
Grosset, Marie-Pierre; Veselov, Alexander P.
7
2005
Integrability and Huygens’ principle on symmetric spaces. Zbl 0859.43004
Chalykh, Oleg A.; Veselov, Alexander P.
7
1996
Explicit formulae for spherical functions on symmetric spaces of type AII. Zbl 0760.43004
Veselov, A. P.; Chalykh, O. A.
7
1992
On integrability conditions for the Euler equations on SO(4). Zbl 0539.58013
Veselov, A. P.
7
1983
Rational solutions of the Kadomtsev-Petviashvili equation and Hamiltonian systems. Zbl 0457.35077
Veselov, A. P.
7
1980
Symmetric Lie superalgebras and deformed quantum Calogero-Moser problems. Zbl 1430.17034
Sergeev, A. N.; Veselov, A. P.
6
2017
Jack-Laurent symmetric functions. Zbl 1316.05124
Sergeev, A. N.; Veselov, A. P.
6
2015
Whittaker-Hill equation and semifinite-gap Schrödinger operators. Zbl 1311.34171
Hemery, A. D.; Veselov, A. P.
6
2010
Coincident root loci and Jack and Macdonald polynomials for special values of the parameters. Zbl 1188.33019
Kasatani, M.; Miwa, T.; Sergeev, A. N.; Veselov, A. P.
6
2006
Quasi-invariants and quantum integrals of the deformed Calogero-Moser systems. Zbl 1034.81024
Feigin, M.; Veselov, A. P.
6
2003
On the structure of singularities of integrable Schrödinger operators. Zbl 0969.47018
Berest, Yuri; Veselov, Alexander
6
2000
Action variables of the Kovalevskaya top. Zbl 0952.37044
Dullin, H. R.; Richter, P. H.; Veselov, A. P.
6
1998
Two remarks about the connection of Jacobi and Neumann integrable systems. Zbl 0815.58011
Veselov, Alexander P.
6
1994
Lyapunov spectrum of Markov and Euclid trees. Zbl 1432.11071
Spalding, K.; Veselov, A. P.
5
2017
Jack-Laurent symmetric functions for special values of parameters. Zbl 1343.05158
Sergeev, A. N.; Veselov, A. P.
5
2016
On Darboux-Treibich-Verdier potentials. Zbl 1242.34152
Veselov, Alexander P.
5
2011
On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera. Zbl 0870.39009
Buchstaber, V. M.; Veselov, A. P.
5
1996
Integrable gradient flows and Morse theory. Zbl 0884.58022
Veselov, A. P.; Dynnikov, I. A.
5
1996
The Cremona group and dynamical systems. Zbl 0687.58014
Veselov, A. P.
5
1989
Poisson brackets and complex tori. Zbl 0581.58017
Veselov, A. P.; Novikov, S. P.
5
1985
Finite-zone potentials and integrable systems on a sphere with quadratic potential. Zbl 0574.34001
Veselov, A. P.
5
1980
Euler characters and super Jacobi polynomials. Zbl 1287.17021
Sergeev, A. N.; Veselov, A. P.
4
2011
Polynomial solutions of the Knizhnik-Zamolodchikov equations and Schur-Weyl duality. Zbl 1130.35024
Felder, Giovanni; Veselov, Alexander P.
4
2007
Coxeter group actions on the complement of hyperplanes and special involutions. Zbl 1070.20045
Felder, G.; Veselov, A. P.
4
2005
Cauchy problem for integrable discrete equations on quad-graphs. Zbl 1067.37086
Adler, V. E.; Veselov, A. P.
4
2004
Two-dimensional “discrete hydrodynamics” and Monge-Ampère equations. Zbl 1018.37050
Moser, Jürgen; Veselov, Alexander P.
4
2002
Calogero quantum problem, Knizhnik-Zamolodchikov equation, and Huygens principle. Zbl 0833.35118
Veselov, A. P.
4
1994
Conway river and Arnold sail. Zbl 1435.11015
Spalding, K.; Veselov, A. P.
3
2018
\(\vee\)-systems, holonomy Lie algebras, and logarithmic vector fields. Zbl 07013449
Feigin, Misha V.; Veselov, Alexander P.
3
2018
Growth of values of binary quadratic forms and Conway rivers. Zbl 1414.11079
Spalding, K.; Veselov, A. P.
3
2018
On geometry of a special class of solutions to generalized WDVV equations. Zbl 0992.37064
Veselov, A. P.
3
2000
Markov numbers, Mather’s \(\beta\) function and stable norm. Zbl 1431.37051
Sorrentino, A.; Veselov, A. P.
2
2019
Conway river and Arnold sail. Zbl 1435.11015
Spalding, K.; Veselov, A. P.
3
2018
\(\vee\)-systems, holonomy Lie algebras, and logarithmic vector fields. Zbl 07013449
Feigin, Misha V.; Veselov, Alexander P.
3
2018
Growth of values of binary quadratic forms and Conway rivers. Zbl 1414.11079
Spalding, K.; Veselov, A. P.
3
2018
Symmetric Lie superalgebras and deformed quantum Calogero-Moser problems. Zbl 1430.17034
Sergeev, A. N.; Veselov, A. P.
6
2017
Lyapunov spectrum of Markov and Euclid trees. Zbl 1432.11071
Spalding, K.; Veselov, A. P.
5
2017
Orbits and invariants of super Weyl groupoid. Zbl 1405.17021
Sergeev, Alexander N.; Veselov, Alexander P.
1
2017
Universal formula for the Hilbert series of minimal nilpotent orbits. Zbl 1428.17006
Matsuo, A.; Veselov, A. P.
1
2017
On the spectra of real and complex Lamé operators. Zbl 1385.34061
Haese-Hill, William A.; Hallnäs, Martin A.; Veselov, Alexander P.
1
2017
Jack-Laurent symmetric functions for special values of parameters. Zbl 1343.05158
Sergeev, A. N.; Veselov, A. P.
5
2016
Gaudin subalgebras and wonderful models. Zbl 1345.81054
Aguirre, Leonardo; Felder, Giovanni; Veselov, Alexander P.
2
2016
Complex exceptional orthogonal polynomials and quasi-invariance. Zbl 1337.33008
Haese-Hill, William A.; Hallnäs, Martin A.; Veselov, Alexander P.
2
2016
Dunkl operators at infinity and Calogero-Moser systems. Zbl 1329.81433
Sergeev, Alexander N.; Veselov, Alexander P.
11
2015
Separation coordinates, moduli spaces and Stasheff polytopes. Zbl 1349.58014
Schöbel, K.; Veselov, A. P.
9
2015
Jack-Laurent symmetric functions. Zbl 1316.05124
Sergeev, A. N.; Veselov, A. P.
6
2015
Jacobi-Trudy formula for generalized Schur polynomials. Zbl 1297.05244
Sergeev, A. N.; Veselov, A. P.
9
2014
Periodic vortex streets and complex monodromy. Zbl 1308.76050
Hemery, Adrian D.; Veselov, Alexander P.
2
2014
On deformation and classification of \(\vee\)-systems. Zbl 1420.37087
Schreiber, V.; Veselov, A. P.
1
2014
On geometric quantization of the Dirac magnetic monopole. Zbl 1420.53090
Kemp, Graham M.; Veselov, Alexander P.
1
2014
Baker-Akhiezer functions and generalised Macdonald-Mehta integrals. Zbl 1366.33017
Feigin, M. V.; Hallnäs, M. A.; Veselov, A. P.
1
2013
Zeros of Wronskians of Hermite polynomials and Young diagrams. Zbl 1258.33005
Felder, G.; Hemery, A. D.; Veselov, A. P.
22
2012
Universality in Chern-Simons theory. Zbl 1397.81326
Mkrtchyan, R. L.; Veselov, A. P.
12
2012
Casimir eigenvalues for universal Lie algebra. Zbl 1331.17007
Mkrtchyan, R. L.; Sergeev, A. N.; Veselov, A. P.
11
2012
Gaudin subalgebras and stable rational curves. Zbl 1228.14025
Aguirre, Leonardo; Felder, Giovanni; Veselov, Alexander P.
11
2011
Grothendieck rings of basic classical Lie superalgebras. Zbl 1278.17006
Sergeev, Alexander N.; Veselov, Alexander P.
8
2011
On duality and negative dimensions in the theory of Lie groups and symmetric spaces. Zbl 1272.53045
Mkrtchyan, Ruben L.; Veselov, Alexander P.
7
2011
On elliptic Calogero-Moser systems for complex crystallographic reflection groups. Zbl 1243.14036
Etingof, Pavel; Felder, Giovanni; Ma, Xiaoguang; Veselov, Alexander
7
2011
On Darboux-Treibich-Verdier potentials. Zbl 1242.34152
Veselov, Alexander P.
5
2011
Euler characters and super Jacobi polynomials. Zbl 1287.17021
Sergeev, A. N.; Veselov, A. P.
4
2011
On quadrirational Yang-Baxter maps. Zbl 1190.14012
Papageorgiou, V. G.; Suris, Yu. B.; Tongas, A. G.; Veselov, A. P.
9
2010
Whittaker-Hill equation and semifinite-gap Schrödinger operators. Zbl 1311.34171
Hemery, A. D.; Veselov, A. P.
6
2010
Quantum Calogero-Moser systems: a view from infinity. Zbl 1241.81096
Sergeev, Alexander N.; Veselov, Alexander P.
1
2010
\(BC_\infty \) Calogero-Moser operator and super Jacobi polynomials. Zbl 1220.33014
Sergeev, A. N.; Veselov, A. P.
16
2009
On the rational monodromy-free potentials with sextic growth. Zbl 1200.34108
Gibbons, John; Veselov, A. P.
7
2009
Deformed Macdonald-Ruijsenaars operators and super Macdonald polynomials. Zbl 1180.33024
Sergeev, A. N.; Veselov, A. P.
7
2009
Baker-Akhiezer function as iterated residue and Selberg-type integral. Zbl 1163.33327
Felder, Giovanni; Veselov, Alexander P.
2
2009
On the geometry of \(V\)-systems. Zbl 1155.37038
Feigin, M.; Veselov, A. P.
8
2008
Lamé equation, quantum Euler top and elliptic Bernoulli polynomials. Zbl 1178.11026
Grosset, M.-P.; Veselov, A. P.
7
2008
A few things I learnt from Jürgen Moser. Zbl 1229.37076
Veselov, A. P.
1
2008
Logarithmic Frobenius structures and Coxeter discriminants. Zbl 1123.53045
Feigin, M. V.; Veselov, A. P.
11
2007
Yang-Baxter maps: dynamical point of view. Zbl 1232.81023
Veselov, Alexander
9
2007
Polynomial solutions of the Knizhnik-Zamolodchikov equations and Schur-Weyl duality. Zbl 1130.35024
Felder, Giovanni; Veselov, Alexander P.
4
2007
Yang-Baxter maps and symmetries of integrable equations on quad-graphs. Zbl 1112.82017
Papageorgiou, Vassilios G.; Tongas, Anastasios G.; Veselov, Alexander P.
17
2006
Elliptic Faulhaber polynomials and Lamé densities of states. Zbl 1142.37042
Grosset, M.-P.; Veselov, A. P.
10
2006
Spectra of Sol-manifolds: Arithmetic and quantum monodromy. Zbl 1109.58027
Bolsinov, A. V.; Dullin, H. R.; Veselov, A. P.
8
2006
Coincident root loci and Jack and Macdonald polynomials for special values of the parameters. Zbl 1188.33019
Kasatani, M.; Miwa, T.; Sergeev, A. N.; Veselov, A. P.
6
2006
Generalised discriminants, deformed Calogero-Moser-Sutherland operators and super-Jack polynomials. Zbl 1069.05076
Sergeev, A. N.; Veselov, A. P.
20
2005
A remark on rational isochronous potentials. Zbl 1362.70012
Chalykh, Oleg A.; Veselov, Alexander P.
16
2005
On the real zeroes of the Hurwitz zeta-function and Bernoulli polynomials. Zbl 1073.11060
Veselov, A. P.; Ward, J. P.
8
2005
Bernoulli numbers and solitons. Zbl 1084.11008
Grosset, Marie-Pierre; Veselov, Alexander P.
7
2005
Coxeter group actions on the complement of hyperplanes and special involutions. Zbl 1070.20045
Felder, G.; Veselov, A. P.
4
2005
Deformed quantum Calogero-Moser problems and Lie superalgebras. Zbl 1062.81097
Sergeev, A. N.; Veselov, A. P.
32
2004
Yang-Baxter maps and matrix solitons. Zbl 1061.35091
Goncharenko, V. M.; Veselov, A. P.
10
2004
Cauchy problem for integrable discrete equations on quad-graphs. Zbl 1067.37086
Adler, V. E.; Veselov, A. P.
4
2004
Yang-Baxter maps and integrable dynamics. Zbl 1051.81014
Veselov, A. P.
33
2003
Lax matrices for Yang-Baxter maps. Zbl 1362.39016
Suris, Yuri B.; Veselov, Alexander P.
13
2003
Action of Coxeter groups on \(m\)-harmonic polynomials and Knizhnik-Zamolodchikov equations. Zbl 1056.32013
Felder, G.; Veselov, A. P.
9
2003
Quasi-invariants and quantum integrals of the deformed Calogero-Moser systems. Zbl 1034.81024
Feigin, M.; Veselov, A. P.
6
2003
Discrete Lagrangian systems on the Virasoro group and Camassa-Holm family. Zbl 1072.70012
Penskoi, A. V.; Veselov, A. P.
1
2003
Quasi-invariants of Coxeter groups and \(m\)-harmonic polynomials. Zbl 1009.20044
Feigin, M.; Veselov, A. P.
18
2002
Two-dimensional “discrete hydrodynamics” and Monge-Ampère equations. Zbl 1018.37050
Moser, Jürgen; Veselov, Alexander P.
4
2002
On generalizations of the Calogero-Moser-Sutherland quantum problem and WDVV equations. Zbl 1060.81037
Veselov, A. P.
1
2002
Integrable Schrödinger operators with magnetic fields: Factorization method on curved surfaces. Zbl 1013.81007
Ferapontov, E. V.; Veselov, A. P.
22
2001
On Stieltjes relations, Painlevé-IV hierarchy and complex monodromy. Zbl 1045.34060
Veselov, A. P.
17
2001
Actions of the Neumann systems via Picard-Fuchs equations. Zbl 1001.70013
Dullin, Holger R.; Richter, Peter H.; Veselov, Alexander P.; Waalkens, Holger
9
2001
Faulhaber and Bernoulli polynomials and solitons. Zbl 0984.37083
Fairlie, D. B.; Veselov, A. P.
8
2001
Locus configurations and \(\lor{}\)-systems\(^{\star{}}\). Zbl 0969.35529
Chalykh, O. A.; Veselov, A. P.
8
2001
On the structure of singularities of integrable Schrödinger operators. Zbl 0969.47018
Berest, Yuri; Veselov, Alexander
6
2000
On geometry of a special class of solutions to generalized WDVV equations. Zbl 0992.37064
Veselov, A. P.
3
2000
Multidimensional Baker-Akhiezer functions and Huygens’ principle. Zbl 0972.35110
Chalykh, O. A.; Feigin, M. V.; Veselov, A. P.
27
1999
Deformations of the root systems and new solutions to generalised WDVV equations. Zbl 0951.37028
Veselov, A. P.
18
1999
Multidimensional integrable Schrödinger operators with matrix potential. Zbl 0952.37037
Chalykh, O. A.; Goncharenko, V. M.; Veselov, A. P.
1
1999
New integrable generalizations of the Calogero-Moser quantum problem. Zbl 0906.34061
Chalykh, O.; Feigin, M.; Veselov, A.
30
1998
On the singularities of potentials of exactly soluble Schrödinger equations and on Hadamard’s problem. Zbl 0918.35041
Berest, Yu. Yu.; Veselov, A. P.
8
1998
Monodromy of matrix Schrödinger equations and Darboux transformations. Zbl 0921.34077
Goncharenko, V. M.; Veselov, A. P.
8
1998
Action variables of the Kovalevskaya top. Zbl 0952.37044
Dullin, H. R.; Richter, P. H.; Veselov, A. P.
6
1998
On algebro-geometric Poisson brackets for the Volterra lattice. Zbl 0938.37041
Veselov, A. P.; Penskoĭ, A. V.
3
1998
Huygen’s principle and integrability. Zbl 0912.35098
Veselov, A. P.
1
1998
Baker-Akhiezer functions and the bispectral problem in many dimensions. Zbl 0898.35027
Veselov, Alexander P.
1
1998
Exactly solvable two-dimensional Schrödinger operators and Laplace transformations. Zbl 0922.35141
Novikov, S. P.; Veselov, A. P.
9
1997
New integrable deformations of the Calogero-Moser quantum problem. Zbl 0874.35098
Veselov, A. P.; Feigin, M. V.; Chalykh, O. A.
14
1996
Integrable correspondences and algebraic representations of multivalued groups. Zbl 0885.58018
Buchstaber, V. M.; Veselov, A. P.
12
1996
Integrability and Huygens’ principle on symmetric spaces. Zbl 0859.43004
Chalykh, Oleg A.; Veselov, Alexander P.
7
1996
On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera. Zbl 0870.39009
Buchstaber, V. M.; Veselov, A. P.
5
1996
Integrable gradient flows and Morse theory. Zbl 0884.58022
Veselov, A. P.; Dynnikov, I. A.
5
1996
Factorization and Poisson correspondences. Zbl 0865.58029
Fordy, A. P.; Shabat, A. B.; Veselov, A. P.
3
1995
Exactly soluble periodic two-dimensional Schrödinger operators. Zbl 0855.35031
Veselov, A. P.; Novikov, S. P.
2
1995
Elliptic Dunkl operators, root systems, and functional equations. Zbl 0842.35128
Buchstaber, V. M.; Felder, G.; Veselov, A. P.
23
1994
Huygens’ principle and integrability. Zbl 0941.35003
Berest, Yu. Yu.; Veselov, A. P.
22
1994
Hadamard’s problem and Coxeter groups: New examples of Huygens’ equations. Zbl 0845.35062
Berest, Yu. Yu.; Veselov, A. P.
15
1994
Shift operators for the quantum Calogero-Sutherland problems via Knizhnik-Zamolodchikov equation. Zbl 0811.35105
Felder, Giovanni; Veselov, Alexander P.
11
1994
Two remarks about the connection of Jacobi and Neumann integrable systems. Zbl 0815.58011
Veselov, Alexander P.
6
1994
Calogero quantum problem, Knizhnik-Zamolodchikov equation, and Huygens principle. Zbl 0833.35118
Veselov, A. P.
4
1994
Dunkl operators, functional equations, and transformations of the elliptic genera. Zbl 0832.33012
Bukhshtaber, V. M.; Veselov, A. P.
3
1994
Complex geometry of the billiard on the ellipsoid and quasicrystallic curves. Zbl 0798.58058
Veselov, Alexander P.
2
1994
Dressing chains and the spectral theory of the Schrödinger operator. Zbl 0813.35099
Veselov, A. P.; Shabat, A. B.
86
1993
Algebraic integrability for the Schrödinger equation and finite reflection groups. Zbl 0805.47070
Veselov, A. P.; Styrkas, K. L.; Chalykh, O. A.
23
1993
Integrability in the theory of Schrödinger operator and harmonic analysis. Zbl 0767.35066
Chalykh, Oleg A.; Veselov, Alexander P.
16
1993
The Huygens principle and Coxeter groups. Zbl 0807.35079
Berest, Yu. Yu.; Veselov, A. P.
2
1993
Growth and integrability in the dynamics of mappings. Zbl 0751.58034
Veselov, Alexander P.
28
1992
...and 28 more Documents
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Cited by 1,074 Authors

54 Veselov, Alexander Petrovich
16 Chalykh, Oleg A.
15 Jovanović, Božidar Žarko
13 Mkrtchyan, Ruben L.
13 Sergeev, Aleksandr Nikolaevich
13 Suris, Yuri Borisovich
12 Dragović, Vladimir
12 Taimanov, Iskander Asanovich
11 Grammaticos, Basil
11 Grinevich, Pëtr Georgievich
11 Martín de Diego, David
11 Mironov, Andreĭ Evgen’evich
11 Ramani, Alfred
11 Shabat, Alekseĭ Borisovich
10 Fedorov, Yuri N.
10 Feigin, Misha V.
10 Gómez-Ullate, David
10 Hone, Andrew N. W.
10 Tsyganov, Andreĭ Vladimirovich
9 Etingof, Pavel Il’ich
9 García-Naranjo, Luis C.
9 Kassotakis, Pavlos G.
9 Milson, Robert
9 Novikov, Roman G.
9 Tabachnikov, Serge L.
8 Adler, Vsevolod Eduardovich
8 Berest, Yuri Yu.
8 Fordy, Allan P.
8 Marsden, Jerrold Eldon
8 Nijhoff, Frank W.
8 Radnović, Milena
7 Bialy, Misha
7 Borisov, Alekseĭ Vladimirovich
7 Bukhshtaber, Viktor Matveevich
7 Calogero, Francesco A.
7 Mamaev, Ivan Sergeevich
7 Marrero, Juan Carlos
7 Rump, Wolfgang
7 Sahadevan, Ramajayam
6 Bobenko, Alexander Ivanovich
6 de León Rodríguez, Manuel
6 Felder, Giovanni
6 Ferapontov, Evgeny Vladimirovich
6 Guha, Partha
6 Hallnäs, Martin A.
6 Iliev, Plamen
6 Kasman, Alex
6 Krichever, Igor’ Moiseevich
6 Langmann, Edwin
6 Lechtenfeld, Olaf
6 Leksin, Vladimir Pavlovich
6 Novikov, Sergeĭ Petrovich
6 Strachan, Ian A. B.
6 Vanhaecke, Pol
6 Varchenko, Alexander Nikolaevich
5 Bloch, Anthony M.
5 Clarkson, Peter A.
5 Doliwa, Adam
5 Dullin, Holger R.
5 Evripidou, Charalampos A.
5 Grandati, Yves
5 Jiménez, Fernando
5 Khèkalo, S. P.
5 Kouloukas, Theodoros E.
5 Leok, Melvin
5 Lou, Senyue
5 Marikhin, Vladimir G.
5 Marquette, Ian
5 Mouayn, Zouhaïr
5 Nieszporski, Maciej
5 Papageorgiou, Vassilios G.
5 Petrera, Matteo
5 Roberts, John Anthony Gerard
5 Schöbel, Konrad P.
5 Shamolin, Maksim Vladimirovich
5 van der Kamp, Peter H.
5 Viallet, Claude Michel
4 Atai, Farrokh
4 Boukraa, Salah
4 Chalub, Fabio A. C. C.
4 Colombo, Leonardo Jesus
4 Desrosiers, Patrick
4 Duran, Antonio J.
4 Fassò, Francesco
4 Gajić, Borislav
4 Gay-Balmaz, François
4 Ghanmi, Allal
4 Ghose Choudhury, Anindya
4 Khabibullin, Ismagil Talgatovich
4 Hu, Xingbiao
4 Inozemtsev, Vladimir I.
4 Korhonen, Risto
4 Kozlov, Valeriĭ Vasil’evich
4 Küçüksakallı, Ömer
4 Lee, Taeyoung
4 Leyendecker, Sigrid
4 Maillard, Jean-Marie
4 Matushko, M. G.
4 Modin, Klas
4 Natanzon, Sergei M.
...and 974 more Authors
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Cited in 210 Serials

106 Journal of Mathematical Physics
54 Theoretical and Mathematical Physics
48 Communications in Mathematical Physics
32 Journal of Geometry and Physics
30 Journal of High Energy Physics
29 Letters in Mathematical Physics
29 Functional Analysis and its Applications
28 Advances in Mathematics
28 Regular and Chaotic Dynamics
26 Physica D
26 Journal of Nonlinear Mathematical Physics
20 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
17 Mathematical Notes
16 Journal of Mathematical Sciences (New York)
14 Journal of Nonlinear Science
13 Journal of Mathematical Analysis and Applications
11 Nonlinearity
11 Physics Letters. A
11 Journal of Algebra
11 Proceedings of the Steklov Institute of Mathematics
10 Russian Mathematical Surveys
9 Journal of Computational and Applied Mathematics
9 Proceedings of the American Mathematical Society
9 Journal of Physics A: Mathematical and Theoretical
8 International Journal for Numerical Methods in Engineering
7 Nuclear Physics. B
7 Duke Mathematical Journal
7 Advances in Applied Mathematics
7 Discrete and Continuous Dynamical Systems
6 Computer Methods in Applied Mechanics and Engineering
6 Physica A
6 Journal of Approximation Theory
6 Transactions of the American Mathematical Society
6 Chaos
6 International Journal of Geometric Methods in Modern Physics
6 Arnold Mathematical Journal
5 Journal of Computational Physics
5 Annales de l’Institut Fourier
5 Applied Mathematics and Computation
5 Journal of Combinatorial Theory. Series A
5 Journal of Soviet Mathematics
5 Studies in Applied Mathematics
5 Acta Applicandae Mathematicae
5 Indagationes Mathematicae. New Series
5 St. Petersburg Mathematical Journal
5 Selecta Mathematica. New Series
5 Journal of Geometric Mechanics
4 Archive for Rational Mechanics and Analysis
4 Reports on Mathematical Physics
4 Chaos, Solitons and Fractals
4 Inventiones Mathematicae
4 Mathematische Zeitschrift
4 Siberian Mathematical Journal
4 International Journal of Mathematics
4 Bulletin des Sciences Mathématiques
4 Journal of Difference Equations and Applications
4 Mathematical Physics, Analysis and Geometry
4 Annales Henri Poincaré
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Acta Mechanica
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3 Reviews in Mathematical Physics
3 Automatica
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3 Journal of Pure and Applied Algebra
3 Programming and Computer Software
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Transactions of the Moscow Mathematical Society
3 Ergodic Theory and Dynamical Systems
3 Annals of Global Analysis and Geometry
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3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
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3 Communications in Nonlinear Science and Numerical Simulation
3 Dynamical Systems
3 Foundations of Computational Mathematics
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3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Symmetry
3 Journal of Computational Dynamics
2 Modern Physics Letters A
2 International Journal of Modern Physics A
2 Applicable Analysis
2 Communications in Algebra
2 Discrete Mathematics
2 Israel Journal of Mathematics
2 Journal of Applied Mathematics and Mechanics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Bulletin of the London Mathematical Society
2 Compositio Mathematica
2 Geometriae Dedicata
2 Illinois Journal of Mathematics
2 Journal of Functional Analysis
2 Numerische Mathematik
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Proceedings of the London Mathematical Society. Third Series
2 European Journal of Combinatorics
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Cited in 55 Fields

441 Dynamical systems and ergodic theory (37-XX)
227 Partial differential equations (35-XX)
225 Quantum theory (81-XX)
185 Mechanics of particles and systems (70-XX)
102 Ordinary differential equations (34-XX)
101 Special functions (33-XX)
99 Difference and functional equations (39-XX)
98 Differential geometry (53-XX)
95 Algebraic geometry (14-XX)
92 Nonassociative rings and algebras (17-XX)
74 Numerical analysis (65-XX)
60 Associative rings and algebras (16-XX)
56 Global analysis, analysis on manifolds (58-XX)
49 Combinatorics (05-XX)
39 Number theory (11-XX)
36 Group theory and generalizations (20-XX)
32 Statistical mechanics, structure of matter (82-XX)
30 Operator theory (47-XX)
27 Linear and multilinear algebra; matrix theory (15-XX)
26 Functions of a complex variable (30-XX)
25 Harmonic analysis on Euclidean spaces (42-XX)
21 Commutative algebra (13-XX)
20 Topological groups, Lie groups (22-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
18 Several complex variables and analytic spaces (32-XX)
16 Manifolds and cell complexes (57-XX)
16 Mechanics of deformable solids (74-XX)
15 Fluid mechanics (76-XX)
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8 Geometry (51-XX)
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4 History and biography (01-XX)
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4 Algebraic topology (55-XX)
3 Integral transforms, operational calculus (44-XX)
3 Relativity and gravitational theory (83-XX)
3 Operations research, mathematical programming (90-XX)
2 Approximations and expansions (41-XX)
2 Integral equations (45-XX)
2 General topology (54-XX)
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