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Author ID: zabrodin.anton-v Recent zbMATH articles by "Zabrodin, Anton V."
Published as: Zabrodin, A. V.; Zabrodin, A.; Zabrodin, Anton; Zabrodin, Anton V.
all top 5

Co-Authors

32 single-authored
19 Wiegmann, Paul B.
10 Krichever, Igor’ Moiseevich
6 Mineev-Weinstein, Mark
5 Marshakov, Andrei V.
4 Zotov, Andrei V.
3 Alexandrov, Alexander Sergeevich
3 Chekhov, Leonid O.
3 Dolgoleva, G. V.
3 Freund, Peter George Oliver
3 Godunov, Sergeĭ Konstantinovich
3 Kazakov, Vladimir A.
3 Lipan, Ovidiu
3 Oleĭnik, Ol’ga Arsen’evna
3 Tikhomirov, Vladimir Mikhaĭlovich
3 Tsuboi, Zengo
3 Volevich, Leonid Romanovich
3 Voskresenskij, G. P.
2 Abanov, Artem
2 Agam, Oded
2 Bettelheim, Eldad
2 Brushlinskij, K. V.
2 Chentsov, Nikolaĭ Nikolaevich
2 Feodoritova, O. B.
2 Gorskiĭ, Aleksandr Sergeevich
2 Kolmogorov, Andreĭ Nikolaevich
2 Leurent, Sebastien
2 Lokutsievskij, O. V.
2 Natanzon, Sergei M.
2 Prokof’ev, V. V.
2 Prokopov, G. P.
2 Rudneva, D. S.
2 Teodorescu, Razvan M.
2 Zhukov, V. T.
1 Afendikov, Andrei L.
1 Akhmedova, Valeria
1 Anuchina, N. N.
1 Babenko, Konstantin Ivanovich
1 Bakhvalov, Nikolai Sergeevich
1 Beketov, M.
1 Borovkov, Aleksandr Alekseevich
1 Boyarsky, Alexey
1 Brézin, Edouard
1 Bukhshtaber, Viktor Matveevich
1 Chibisov, Dmitriĭ Mikhaĭlovich
1 Dmitriev, Nicolai A.
1 Dmitrieva, L. A.
1 Dobrokhotov, Sergei Yurievich
1 Dobrushin, Roland L’vovich
1 D’yachenko, Vladimir Fedotovich
1 Ezerova, G. N.
1 Fedorenko, R. P.
1 Gel’fand, Israil’ Moiseevich
1 Grekov, A. M.
1 Grinevich, Pëtr Georgievich
1 Grushevsky, S. M.
1 Kholevo, Aleksandr Semënovich
1 Ibragimov, Il’dar Abdullovich
1 Keldysh, S. M.
1 Khairullina, O. B.
1 Khas’minskiĭ, Rafail Zalmanovich
1 Kostov, Ivan K.
1 Levin, V. K.
1 Liashyk, A. N.
1 Malinovskij, E. V.
1 Mironov, Andrei D.
1 Mironov, Andreĭ Evgen’evich
1 Nekrasov, Nikita Alexandrovich
1 Novikov, Sergeĭ Petrovich
1 Okun’kov, Andreĭ Yur’evich
1 Olshanetsky, Mikhail A.
1 Pashkov, V.
1 Podlivaev, I. F.
1 Pogrebkov, Andrei K.
1 Prokhorov, Yuriĭ Vasil’evich
1 Putinar, Mihai
1 Ruchayskiy, Oleg
1 Ryaben’kiĭ, Viktor Solomonovich
1 Sander, Leonard M.
1 Serban, Didina
1 Sewat’yanov, B. A.
1 Sheĭnman, Oleg Karlovich
1 Shiryaev, Al’bert Nikolaevich
1 Shlosman, Senya B.
1 Sinaĭ, Yakov Grigor’evich
1 Skorokhod, Anatoliĭ Volodymyrovych
1 Slavnov, Nikita A.
1 Sofronov, Ivan Denisovich
1 Sorin, Alexander S.
1 Statulevičius, Vytautas
1 Taimanov, Iskander Asanovich
1 Takebe, Takashi
1 Teo, Lee-Peng
1 Tsfasman, Michael A.
1 Varchenko, Alexander Nikolaevich
1 Vasil’ev, Denis Vladimirovich
1 Veselov, Alexander Petrovich
1 Zolotarëv, Vladimir Mikhaĭlovich

Publications by Year

Citations contained in zbMATH Open

97 Publications have been cited 1,024 times in 512 Documents Cited by Year
Quantum integrable models and discrete classical Hirota equations. Zbl 0896.58035
Krichever, I.; Lipan, O.; Wiegmann, P.; Zabrodin, A.
69
1997
Conformal maps and integrable hierarchies. Zbl 0973.37042
Wiegmann, P. B.; Zabrodin, A.
60
2000
Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra. Zbl 0960.37030
Krichever, I.; Zabrodin, A.
43
1995
Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics. Zbl 1150.82009
Kazakov, Vladimir; Sorin, Alexander; Zabrodin, Anton
42
2008
Non-Archimedean strings and Bruhat-Tits trees. Zbl 0676.22006
Zabrodin, A. V.
35
1989
The \(\tau\)-function for analytic curves. Zbl 0991.37050
Kostov, I. K.; Krichever, I.; Mineev-Weinstein, M.; Wiegmann, P. B.; Zabrodin, A.
33
2001
Free fermions and tau-functions. Zbl 1267.81196
Alexandrov, Alexander; Zabrodin, Anton
33
2013
Laplacian growth and Whitham equations of soliton theory. Zbl 1078.76025
Krichever, I.; Mineev-Weinstein, M.; Wiegmann, P.; Zabrodin, A.
29
2004
Integrable structure of the Dirichlet boundary problem in multiply-connected domains. Zbl 1091.37019
Krichever, I.; Marshakov, A.; Zabrodin, A.
29
2005
Integrable structure of the Dirichlet boundary problem in two dimensions. Zbl 1065.37048
Marshakov, A.; Wiegmann, P.; Zabrodin, A.
28
2002
A computational scheme for two-dimensional nonstationary problems of gas dynamics and calculation of the flow from a shock wave approaching a stationary state. Zbl 0146.23004
Godunov, S. K.; Zabrodin, A. V.; Prokopov, G. P.
26
1961
Normal random matrix ensemble as a growth problem. Zbl 1119.82310
Teodorescu, Razvan; Bettelheim, E.; Agam, O.; Zabrodin, A.; Wiegmann, P.
26
2005
Large-\(N\) expansion for the 2D Dyson gas. Zbl 1098.82011
Zabrodin, A.; Wiegmann, P.
25
2006
Classical tau-function for quantum spin chains. Zbl 1342.81179
Alexandrov, Alexander; Kazakov, Vladimir; Leurent, Sebastien; Tsuboi, Zengo; Zabrodin, Anton
24
2013
Associativity equations in dispersionless integrable hierarchies. Zbl 0971.37031
Boyarsky, A.; Marshakov, A.; Ruchayskiy, O.; Wiegmann, P.; Zabrodin, A.
22
2001
Spectrum of quantum transfer matrices via classical many-body systems. Zbl 1333.81244
Gorsky, A.; Zabrodin, A.; Zotov, A.
20
2014
Large scale correlations in normal non-Hermitian matrix ensembles. Zbl 1039.65034
Wiegmann, P.; Zabrodin, A.
19
2003
Elliptic solutions to difference nonlinear equations and related many-body problems. Zbl 0907.35124
Krichever, I.; Wiegmann, P.; Zabrodin, A.
19
1998
Quantum group and magnetic translations Bethe ansatz for the Asbel-Hofstadter problem. Zbl 0990.82506
Wiegmann, P. B.; Zabrodin, A. V.
18
1994
Quantum Painlevé-Calogero correspondence. Zbl 1276.81083
Zabrodin, A.; Zotov, A.
18
2012
Dispersionless limit of Hirota equations in some problems of complex analysis. Zbl 1029.37048
Zabrodin, A. V.
18
2001
Multiloop calculations in p-adic string theory and Bruhat-Tits trees. Zbl 0685.22005
Chekhov, L. O.; Mironov, A. D.; Zabrodin, A. V.
17
1989
Bäcklund transformations for the difference Hirota equation and the supersymmetric Bethe ansatz. Zbl 1157.82313
Zabrodin, A. V.
17
2008
Algebraization of difference eigenvalue equations related to \(U_q(\text{sl}_2)\). Zbl 0925.39003
Wiegmann, P. B.; Zabrodin, A. V.
17
1995
On trigonometric intertwining vectors and non-dynamical \(R\)-matrix for the Ruijsenaars model. Zbl 0933.82017
Antonov, A.; Hasegawa, K.; Zabrodin, A.
17
1997
Discrete Hirota’s equation in quantum integrable models. Zbl 1229.82082
Zabrodin, A.
16
1997
Matrix models and growth processes: from viscous flows to the quantum Hall effect. Zbl 1136.82367
Zabrodin, A.
15
2006
Quantum Painlevé-Calogero correspondence for Painlevé VI. Zbl 1276.81082
Zabrodin, A.; Zotov, A.
13
2012
Commuting difference operators with elliptic coefficients from Baxter’s vacuum vectors. Zbl 0956.82010
Zabrodin, A.
12
2000
The master \(T\)-operator for the Gaudin model and the KP hierarchy. Zbl 1323.37037
Alexandrov, Alexander; Leurent, Sebastien; Tsuboi, Zengo; Zabrodin, Anton
11
2014
Löwner equations and dispersionless hierarchies. Zbl 1104.37046
Takebe, Takashi; Teo, Lee-Peng; Zabrodin, Anton
11
2006
Hirota equation and Bethe ansatz. Zbl 0988.82017
Zabrodin, A. V.
10
1998
The spectral problem for the \(q\)-Knizhnik-Zamolodchikov equation and continuous \(q\)-Jacobi polynomials. Zbl 0832.35106
Freund, Peter G. O.; Zabrodin, Anton V.
10
1995
Trigonometric version of quantum-classical duality in integrable systems. Zbl 1332.82064
Beketov, M.; Liashyk, A.; Zabrodin, A.; Zotov, A.
9
2016
Growth of fat slits and dispersionless KP hierarchy. Zbl 1188.37067
Zabrodin, A.
9
2009
Random matrices and Laplacian growth. Zbl 1236.15075
Zabrodin, A.
8
2011
Theta vocabulary. I. Zbl 1318.33035
Kharchev, S.; Zabrodin, A.
8
2015
Elliptic solutions to integrable nonlinear equations and many-body systems. Zbl 1469.37050
Zabrodin, A.
8
2019
Supersymmetric quantum spin chains and classical integrable systems. Zbl 1388.81159
Tsuboi, Zengo; Zabrodin, Anton; Zotov, Andrei
8
2015
Fusion rules for quantum transfer matrices as a dynamical system on Grassmann manifolds. Zbl 1022.81580
Lipan, O.; Wiegmann, P. B.; Zabrodin, A.
8
1997
The master \(T\)-operator for vertex models with trigonometric \(R\)-matrices as a classical \(\tau\)-function. Zbl 1282.82019
Zabrodin, A. V.
7
2013
Large \(N\) expansion for normal and complex matrix ensembles. 2nd printing. Zbl 1163.82005
Wiegmann, P.; Zabrodin, A.
6
2006
Classical-quantum correspondence and functional relations for Painlevé equations. Zbl 1325.81167
Zabrodin, A.; Zotov, A.
6
2015
Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems. Zbl 0855.58039
Zabrodin, A. V.
6
1995
Formal solutions to the KP hierarchy. Zbl 1346.37055
Natanzon, S. M.; Zabrodin, A. V.
6
2016
Vacuum curves of elliptic \(L\)-operators and representations of the Sklyanin algebra. Zbl 0938.37044
Krichever, I.; Zabrodin, A.
6
1999
Degenerations of Sklyanin algebra and Askey-Wilson polynomials. Zbl 0804.17012
Gorskij, A. S.; Zabrodin, A. V.
6
1993
Semiclassical evolution of the spectral curve in the normal random matrix ensemble as Whitham hierarchy. Zbl 1123.81370
Teodorescu, Razvan; Bettelheim, E.; Agam, O.; Zabrodin, A.; Wiegmann, P.
6
2004
Intertwining operators for Sklyanin algebra and elliptic hypergeometric series. Zbl 1223.33010
Zabrodin, A.
5
2011
KP hierarchy and trigonometric Calogero-Moser hierarchy. Zbl 07222073
Zabrodin, A.
5
2020
On the spectral curve of the difference Lamé operator. Zbl 0933.39045
Zabrodin, A.
5
1999
New \(p\)-adic string amplitudes. Zbl 1020.81789
Marshakov, A. V.; Zabrodin, A. V.
5
1990
Integrable models of field theory and scattering on quantum hyperboloids. Zbl 1020.82536
Zabrodin, A.
5
1992
A hierarchic array of integrable models. Zbl 0873.33007
Freund, Peter G. O.; Zabrodin, Anton V.
5
1993
Elliptic parameterization of Pfaff integrable hierarchies in the zero-dispersion limit. Zbl 1338.37080
Akhmedova, V. E.; Zabrodin, A. V.
4
2015
The master \(T\)-operator for inhomogeneous \(XXX\) spin chain and mKP hierarchy. Zbl 1339.37063
Zabrodin, Anton
4
2014
Spin generalization of the Calogero-Moser hierarchy and the matrix KP hierarchy. Zbl 1403.37076
Pashkov, V.; Zabrodin, A.
4
2018
Growth processes related to the dispersionless Lax equations. Zbl 1155.35469
Zabrodin, A.
4
2007
Whitham-Toda hierarchy in the Laplacian growth problem. Zbl 1008.76013
Mineev-Weinstein, M.; Zabrodin, A.
4
2001
Quantum integrable systems and elliptic solutions of classical discrete nonlinear equations. Zbl 0995.37054
Krichever, I.; Lipan, O.; Wiegmann, P.; Zabrodin, A.
4
1997
Dispersionless DKP hierarchy and the elliptic Löwner equation. Zbl 1387.35522
Akhmedova, V.; Zabrodin, A.
3
2014
Macdonald polynomials from Sklyanin algebras: A conceptual basis for the \(p\)-adics-quantum group connection. Zbl 0760.17007
Freund, Peter G. O.; Zabrodin, Anton V.
3
1992
Theoretical principles and construction of numerical algorithms of mathematical physics. (Teoreticheskie osnovy i konstruirovanie chislennykh algoritmov zadach matematicheskoj fiziki). Zbl 0464.65082
Anuchina, N. N.; Babenko, K. I.; Godunov, S. K.; Dmitriev, N. A.; Dmitrieva, L. A.; D’yachenko, V. F.; Zabrodin, A. V.; Lokutsievskij, O. V.; Malinovskij, E. V.; Podlivaev, I. F.; Prokopov, G. P.; Sofronov, I. D.; Fedorenko, R. P.
3
1979
Multi-cut solutions of Laplacian growth. Zbl 1173.76312
Abanov, Ar.; Mineev-Weinstein, M.; Zabrodin, A.
3
2009
Self-similarity in Laplacian growth. Zbl 1123.76059
Abanov, Ar.; Mineev-Weinstein, M.; Zabrodin, A.
3
2007
Kadomtsev-Petviashvili turning points and CKP hierarchy. Zbl 1479.37071
Krichever, I.; Zabrodin, A.
3
2021
New applications of non-Hermitian random matrices. Zbl 1047.15012
Zabrodin, A.
3
2003
Quantum spin chains and integrable many-body systems of classical mechanics. Zbl 1338.82008
Zabrodin, A.
3
2015
Elliptic solutions to matrix KP hierarchy and spin generalization of elliptic Calogero-Moser model. Zbl 1475.37074
Prokofev, V.; Zabrodin, A.
2
2021
Whitham hierarchy in growth problems. Zbl 1178.37062
Zabrodin, A. V.
2
2005
Self-dual form of Ruijsenaars-Schneider models and ILW equation with discrete Laplacian. Zbl 1380.37130
Zabrodin, A.; Zotov, A.
2
2018
KZ-Calogero correspondence revisited. Zbl 1369.37068
Zabrodin, A.; Zotov, A.
2
2017
Supersymmetric extension of qKZ-Ruijsenaars correspondence. Zbl 1409.81185
Grekov, A.; Zabrodin, A.; Zotov, A.
2
2019
Time discretization of the spin Calogero-Moser model and the semi-discrete matrix KP hierarchy. Zbl 1419.37066
Zabrodin, A.
2
2019
A critical matrix model for nonoriented string. Zbl 1020.81745
Chekhov, L.; Zabrodin, A.
2
1991
A method of solving the two-dimensional equations of the dynamics of a heat-conducting gas in regions of complicated shape. Zbl 0798.76062
Zhukov, V. T.; Zabrodin, A. V.; Feodoritova, O. B.
2
1993
Application of random matrices in physics. Proceedings of the NATO Advanced Research Workshop, Les Houches, France, June 6–25, 2004. Zbl 1120.82001
1
2006
Elliptic solutions of the semidiscrete B-version of the Kadomtsev-Petviashvili equation. Zbl 1456.37075
Rudneva, D. S.; Zabrodin, A. V.
1
2020
QKZ-Ruijsenaars correspondence revisited. Zbl 1373.81245
Zabrodin, A.; Zotov, A.
1
2017
Multi-variable reductions of the dispersionless DKP hierarchy. Zbl 1386.37066
Akhmedova, V.; Takebe, T.; Zabrodin, A.
1
2017
Fermions on a Riemann surface and the Kadomtsev-Petviashvili equation. Zbl 0691.35074
Zabrodin, A. V.
1
1989
Approximation solutions in the Lagrange ballistic problem and its generalizations. Zbl 0850.76506
Zabrodin, A. V.; Chentsov, N. N.
1
1989
Computational construction of microtargets for shockless compression. Zbl 1382.76210
Dolgoleva, G. V.; Zabrodin, A. V.
1
2008
Symmetric solutions to dispersionless 2D Toda hierarchy, Hurwitz numbers, and conformal dynamics. Zbl 1353.37136
Natanzon, Sergey; Zabrodin, Anton
1
2015
Features of the numerical simulation of the target of inertial thermonuclear synthesis in the approximation of heat conduction gas dynamics. Zbl 0835.76069
Zhukov, V. T.; Zabrodin, A. V.; Feodoritova, O. B.
1
1994
New applications of non-Hermitian random matrices. Zbl 1108.82311
Zabrodin, A.
1
2003
Matrix modified Kadomtsev-Petviashvili hierarchy. Zbl 1429.37040
Zabrodin, A. V.
1
2019
Konstantin Ivanovich Babenko (zum sechzigsten Geburtstag). Zbl 0425.01005
Volevich, L. R.; Voskresenskiĭ, G. P.; Zabrodin, A. V.; Kolmogorov, A. N.; Oleĭnik, O. A.; Tikhomirov, V. M.
1
1980
Physics and mathematics of growing interfaces. In honor of Stan Richardson’s discoveries in Laplacian growth and related free boundary problem. Zbl 1124.35303
1
2007
On the Dirichlet boundary problem and Hirota equations. Zbl 1123.37039
Marshakov, A.; Zabrodin, A.
1
2006
Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars-Schneider model. Zbl 1477.37076
Prokofev, V. V.; Zabrodin, A. V.
1
2021
Construction of a sequence of approximate solutions for determining the cumulative energy associated with the convergence of a layered system of shells. Zbl 0800.76393
Dolgoleva, G. V.; Zabrodin, A. V.
1
1993
Laplacian growth in a channel and Hurwitz numbers. Zbl 1356.76094
Zabrodin, A.
1
2013
Canonical and grand canonical partition functions of Dyson gases as tau-functions of integrable hierarchies and their fermionic realization. Zbl 1200.82057
Zabrodin, A.
1
2010
Quantum group and magnetic translations. Bethe-Ansatz solution for Bloch electrons in a magnetic field. Zbl 0818.17034
Wiegmann, P. B.; Zabrodin, A. V.
1
1994
Matrix Kadomtsev-Petviashvili hierarchy and spin generalization of trigonometric Calogero-Moser hierarchy. Zbl 1448.37079
Prokofev, V. V.; Zabrodin, A. V.
1
2020
On difference schemes of the second order of accuracy for multidimensional problems. Zbl 0127.34202
Godunov, S.; Zabrodin, A.
1
1962
Kadomtsev-Petviashvili turning points and CKP hierarchy. Zbl 1479.37071
Krichever, I.; Zabrodin, A.
3
2021
Elliptic solutions to matrix KP hierarchy and spin generalization of elliptic Calogero-Moser model. Zbl 1475.37074
Prokofev, V.; Zabrodin, A.
2
2021
Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars-Schneider model. Zbl 1477.37076
Prokofev, V. V.; Zabrodin, A. V.
1
2021
KP hierarchy and trigonometric Calogero-Moser hierarchy. Zbl 07222073
Zabrodin, A.
5
2020
Elliptic solutions of the semidiscrete B-version of the Kadomtsev-Petviashvili equation. Zbl 1456.37075
Rudneva, D. S.; Zabrodin, A. V.
1
2020
Matrix Kadomtsev-Petviashvili hierarchy and spin generalization of trigonometric Calogero-Moser hierarchy. Zbl 1448.37079
Prokofev, V. V.; Zabrodin, A. V.
1
2020
Elliptic solutions to integrable nonlinear equations and many-body systems. Zbl 1469.37050
Zabrodin, A.
8
2019
Supersymmetric extension of qKZ-Ruijsenaars correspondence. Zbl 1409.81185
Grekov, A.; Zabrodin, A.; Zotov, A.
2
2019
Time discretization of the spin Calogero-Moser model and the semi-discrete matrix KP hierarchy. Zbl 1419.37066
Zabrodin, A.
2
2019
Matrix modified Kadomtsev-Petviashvili hierarchy. Zbl 1429.37040
Zabrodin, A. V.
1
2019
Spin generalization of the Calogero-Moser hierarchy and the matrix KP hierarchy. Zbl 1403.37076
Pashkov, V.; Zabrodin, A.
4
2018
Self-dual form of Ruijsenaars-Schneider models and ILW equation with discrete Laplacian. Zbl 1380.37130
Zabrodin, A.; Zotov, A.
2
2018
KZ-Calogero correspondence revisited. Zbl 1369.37068
Zabrodin, A.; Zotov, A.
2
2017
QKZ-Ruijsenaars correspondence revisited. Zbl 1373.81245
Zabrodin, A.; Zotov, A.
1
2017
Multi-variable reductions of the dispersionless DKP hierarchy. Zbl 1386.37066
Akhmedova, V.; Takebe, T.; Zabrodin, A.
1
2017
Trigonometric version of quantum-classical duality in integrable systems. Zbl 1332.82064
Beketov, M.; Liashyk, A.; Zabrodin, A.; Zotov, A.
9
2016
Formal solutions to the KP hierarchy. Zbl 1346.37055
Natanzon, S. M.; Zabrodin, A. V.
6
2016
Theta vocabulary. I. Zbl 1318.33035
Kharchev, S.; Zabrodin, A.
8
2015
Supersymmetric quantum spin chains and classical integrable systems. Zbl 1388.81159
Tsuboi, Zengo; Zabrodin, Anton; Zotov, Andrei
8
2015
Classical-quantum correspondence and functional relations for Painlevé equations. Zbl 1325.81167
Zabrodin, A.; Zotov, A.
6
2015
Elliptic parameterization of Pfaff integrable hierarchies in the zero-dispersion limit. Zbl 1338.37080
Akhmedova, V. E.; Zabrodin, A. V.
4
2015
Quantum spin chains and integrable many-body systems of classical mechanics. Zbl 1338.82008
Zabrodin, A.
3
2015
Symmetric solutions to dispersionless 2D Toda hierarchy, Hurwitz numbers, and conformal dynamics. Zbl 1353.37136
Natanzon, Sergey; Zabrodin, Anton
1
2015
Spectrum of quantum transfer matrices via classical many-body systems. Zbl 1333.81244
Gorsky, A.; Zabrodin, A.; Zotov, A.
20
2014
The master \(T\)-operator for the Gaudin model and the KP hierarchy. Zbl 1323.37037
Alexandrov, Alexander; Leurent, Sebastien; Tsuboi, Zengo; Zabrodin, Anton
11
2014
The master \(T\)-operator for inhomogeneous \(XXX\) spin chain and mKP hierarchy. Zbl 1339.37063
Zabrodin, Anton
4
2014
Dispersionless DKP hierarchy and the elliptic Löwner equation. Zbl 1387.35522
Akhmedova, V.; Zabrodin, A.
3
2014
Free fermions and tau-functions. Zbl 1267.81196
Alexandrov, Alexander; Zabrodin, Anton
33
2013
Classical tau-function for quantum spin chains. Zbl 1342.81179
Alexandrov, Alexander; Kazakov, Vladimir; Leurent, Sebastien; Tsuboi, Zengo; Zabrodin, Anton
24
2013
The master \(T\)-operator for vertex models with trigonometric \(R\)-matrices as a classical \(\tau\)-function. Zbl 1282.82019
Zabrodin, A. V.
7
2013
Laplacian growth in a channel and Hurwitz numbers. Zbl 1356.76094
Zabrodin, A.
1
2013
Quantum Painlevé-Calogero correspondence. Zbl 1276.81083
Zabrodin, A.; Zotov, A.
18
2012
Quantum Painlevé-Calogero correspondence for Painlevé VI. Zbl 1276.81082
Zabrodin, A.; Zotov, A.
13
2012
Random matrices and Laplacian growth. Zbl 1236.15075
Zabrodin, A.
8
2011
Intertwining operators for Sklyanin algebra and elliptic hypergeometric series. Zbl 1223.33010
Zabrodin, A.
5
2011
Canonical and grand canonical partition functions of Dyson gases as tau-functions of integrable hierarchies and their fermionic realization. Zbl 1200.82057
Zabrodin, A.
1
2010
Growth of fat slits and dispersionless KP hierarchy. Zbl 1188.37067
Zabrodin, A.
9
2009
Multi-cut solutions of Laplacian growth. Zbl 1173.76312
Abanov, Ar.; Mineev-Weinstein, M.; Zabrodin, A.
3
2009
Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics. Zbl 1150.82009
Kazakov, Vladimir; Sorin, Alexander; Zabrodin, Anton
42
2008
Bäcklund transformations for the difference Hirota equation and the supersymmetric Bethe ansatz. Zbl 1157.82313
Zabrodin, A. V.
17
2008
Computational construction of microtargets for shockless compression. Zbl 1382.76210
Dolgoleva, G. V.; Zabrodin, A. V.
1
2008
Growth processes related to the dispersionless Lax equations. Zbl 1155.35469
Zabrodin, A.
4
2007
Self-similarity in Laplacian growth. Zbl 1123.76059
Abanov, Ar.; Mineev-Weinstein, M.; Zabrodin, A.
3
2007
Physics and mathematics of growing interfaces. In honor of Stan Richardson’s discoveries in Laplacian growth and related free boundary problem. Zbl 1124.35303
1
2007
Large-\(N\) expansion for the 2D Dyson gas. Zbl 1098.82011
Zabrodin, A.; Wiegmann, P.
25
2006
Matrix models and growth processes: from viscous flows to the quantum Hall effect. Zbl 1136.82367
Zabrodin, A.
15
2006
Löwner equations and dispersionless hierarchies. Zbl 1104.37046
Takebe, Takashi; Teo, Lee-Peng; Zabrodin, Anton
11
2006
Large \(N\) expansion for normal and complex matrix ensembles. 2nd printing. Zbl 1163.82005
Wiegmann, P.; Zabrodin, A.
6
2006
Application of random matrices in physics. Proceedings of the NATO Advanced Research Workshop, Les Houches, France, June 6–25, 2004. Zbl 1120.82001
1
2006
On the Dirichlet boundary problem and Hirota equations. Zbl 1123.37039
Marshakov, A.; Zabrodin, A.
1
2006
Integrable structure of the Dirichlet boundary problem in multiply-connected domains. Zbl 1091.37019
Krichever, I.; Marshakov, A.; Zabrodin, A.
29
2005
Normal random matrix ensemble as a growth problem. Zbl 1119.82310
Teodorescu, Razvan; Bettelheim, E.; Agam, O.; Zabrodin, A.; Wiegmann, P.
26
2005
Whitham hierarchy in growth problems. Zbl 1178.37062
Zabrodin, A. V.
2
2005
Laplacian growth and Whitham equations of soliton theory. Zbl 1078.76025
Krichever, I.; Mineev-Weinstein, M.; Wiegmann, P.; Zabrodin, A.
29
2004
Semiclassical evolution of the spectral curve in the normal random matrix ensemble as Whitham hierarchy. Zbl 1123.81370
Teodorescu, Razvan; Bettelheim, E.; Agam, O.; Zabrodin, A.; Wiegmann, P.
6
2004
Large scale correlations in normal non-Hermitian matrix ensembles. Zbl 1039.65034
Wiegmann, P.; Zabrodin, A.
19
2003
New applications of non-Hermitian random matrices. Zbl 1047.15012
Zabrodin, A.
3
2003
New applications of non-Hermitian random matrices. Zbl 1108.82311
Zabrodin, A.
1
2003
Integrable structure of the Dirichlet boundary problem in two dimensions. Zbl 1065.37048
Marshakov, A.; Wiegmann, P.; Zabrodin, A.
28
2002
The \(\tau\)-function for analytic curves. Zbl 0991.37050
Kostov, I. K.; Krichever, I.; Mineev-Weinstein, M.; Wiegmann, P. B.; Zabrodin, A.
33
2001
Associativity equations in dispersionless integrable hierarchies. Zbl 0971.37031
Boyarsky, A.; Marshakov, A.; Ruchayskiy, O.; Wiegmann, P.; Zabrodin, A.
22
2001
Dispersionless limit of Hirota equations in some problems of complex analysis. Zbl 1029.37048
Zabrodin, A. V.
18
2001
Whitham-Toda hierarchy in the Laplacian growth problem. Zbl 1008.76013
Mineev-Weinstein, M.; Zabrodin, A.
4
2001
Conformal maps and integrable hierarchies. Zbl 0973.37042
Wiegmann, P. B.; Zabrodin, A.
60
2000
Commuting difference operators with elliptic coefficients from Baxter’s vacuum vectors. Zbl 0956.82010
Zabrodin, A.
12
2000
Vacuum curves of elliptic \(L\)-operators and representations of the Sklyanin algebra. Zbl 0938.37044
Krichever, I.; Zabrodin, A.
6
1999
On the spectral curve of the difference Lamé operator. Zbl 0933.39045
Zabrodin, A.
5
1999
Elliptic solutions to difference nonlinear equations and related many-body problems. Zbl 0907.35124
Krichever, I.; Wiegmann, P.; Zabrodin, A.
19
1998
Hirota equation and Bethe ansatz. Zbl 0988.82017
Zabrodin, A. V.
10
1998
Quantum integrable models and discrete classical Hirota equations. Zbl 0896.58035
Krichever, I.; Lipan, O.; Wiegmann, P.; Zabrodin, A.
69
1997
On trigonometric intertwining vectors and non-dynamical \(R\)-matrix for the Ruijsenaars model. Zbl 0933.82017
Antonov, A.; Hasegawa, K.; Zabrodin, A.
17
1997
Discrete Hirota’s equation in quantum integrable models. Zbl 1229.82082
Zabrodin, A.
16
1997
Fusion rules for quantum transfer matrices as a dynamical system on Grassmann manifolds. Zbl 1022.81580
Lipan, O.; Wiegmann, P. B.; Zabrodin, A.
8
1997
Quantum integrable systems and elliptic solutions of classical discrete nonlinear equations. Zbl 0995.37054
Krichever, I.; Lipan, O.; Wiegmann, P.; Zabrodin, A.
4
1997
Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra. Zbl 0960.37030
Krichever, I.; Zabrodin, A.
43
1995
Algebraization of difference eigenvalue equations related to \(U_q(\text{sl}_2)\). Zbl 0925.39003
Wiegmann, P. B.; Zabrodin, A. V.
17
1995
The spectral problem for the \(q\)-Knizhnik-Zamolodchikov equation and continuous \(q\)-Jacobi polynomials. Zbl 0832.35106
Freund, Peter G. O.; Zabrodin, Anton V.
10
1995
Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems. Zbl 0855.58039
Zabrodin, A. V.
6
1995
Quantum group and magnetic translations Bethe ansatz for the Asbel-Hofstadter problem. Zbl 0990.82506
Wiegmann, P. B.; Zabrodin, A. V.
18
1994
Features of the numerical simulation of the target of inertial thermonuclear synthesis in the approximation of heat conduction gas dynamics. Zbl 0835.76069
Zhukov, V. T.; Zabrodin, A. V.; Feodoritova, O. B.
1
1994
Quantum group and magnetic translations. Bethe-Ansatz solution for Bloch electrons in a magnetic field. Zbl 0818.17034
Wiegmann, P. B.; Zabrodin, A. V.
1
1994
Degenerations of Sklyanin algebra and Askey-Wilson polynomials. Zbl 0804.17012
Gorskij, A. S.; Zabrodin, A. V.
6
1993
A hierarchic array of integrable models. Zbl 0873.33007
Freund, Peter G. O.; Zabrodin, Anton V.
5
1993
A method of solving the two-dimensional equations of the dynamics of a heat-conducting gas in regions of complicated shape. Zbl 0798.76062
Zhukov, V. T.; Zabrodin, A. V.; Feodoritova, O. B.
2
1993
Construction of a sequence of approximate solutions for determining the cumulative energy associated with the convergence of a layered system of shells. Zbl 0800.76393
Dolgoleva, G. V.; Zabrodin, A. V.
1
1993
Integrable models of field theory and scattering on quantum hyperboloids. Zbl 1020.82536
Zabrodin, A.
5
1992
Macdonald polynomials from Sklyanin algebras: A conceptual basis for the \(p\)-adics-quantum group connection. Zbl 0760.17007
Freund, Peter G. O.; Zabrodin, Anton V.
3
1992
A critical matrix model for nonoriented string. Zbl 1020.81745
Chekhov, L.; Zabrodin, A.
2
1991
New \(p\)-adic string amplitudes. Zbl 1020.81789
Marshakov, A. V.; Zabrodin, A. V.
5
1990
Non-Archimedean strings and Bruhat-Tits trees. Zbl 0676.22006
Zabrodin, A. V.
35
1989
Multiloop calculations in p-adic string theory and Bruhat-Tits trees. Zbl 0685.22005
Chekhov, L. O.; Mironov, A. D.; Zabrodin, A. V.
17
1989
Fermions on a Riemann surface and the Kadomtsev-Petviashvili equation. Zbl 0691.35074
Zabrodin, A. V.
1
1989
Approximation solutions in the Lagrange ballistic problem and its generalizations. Zbl 0850.76506
Zabrodin, A. V.; Chentsov, N. N.
1
1989
Konstantin Ivanovich Babenko (zum sechzigsten Geburtstag). Zbl 0425.01005
Volevich, L. R.; Voskresenskiĭ, G. P.; Zabrodin, A. V.; Kolmogorov, A. N.; Oleĭnik, O. A.; Tikhomirov, V. M.
1
1980
Theoretical principles and construction of numerical algorithms of mathematical physics. (Teoreticheskie osnovy i konstruirovanie chislennykh algoritmov zadach matematicheskoj fiziki). Zbl 0464.65082
Anuchina, N. N.; Babenko, K. I.; Godunov, S. K.; Dmitriev, N. A.; Dmitrieva, L. A.; D’yachenko, V. F.; Zabrodin, A. V.; Lokutsievskij, O. V.; Malinovskij, E. V.; Podlivaev, I. F.; Prokopov, G. P.; Sofronov, I. D.; Fedorenko, R. P.
3
1979
On difference schemes of the second order of accuracy for multidimensional problems. Zbl 0127.34202
Godunov, S.; Zabrodin, A.
1
1962
A computational scheme for two-dimensional nonstationary problems of gas dynamics and calculation of the flow from a shock wave approaching a stationary state. Zbl 0146.23004
Godunov, S. K.; Zabrodin, A. V.; Prokopov, G. P.
26
1961
all top 5

Cited by 616 Authors

32 Zabrodin, Anton V.
15 Gromov, Nikolay A.
14 Kazakov, Vladimir A.
12 Volin, Dmytro
9 Leurent, Sebastien
9 Tsuboi, Zengo
8 Wiegmann, Paul B.
7 Arutyunov, Gleb Eduardovich
7 Chekhov, Leonid O.
7 Ferapontov, Evgeny Vladimirovich
7 Krichever, Igor’ Moiseevich
7 Marshakov, Andrei V.
7 Mironov, Andrei D.
6 Bazhanov, Vladimir V.
6 Derkachëv, Sergeĭ Èduardovich
6 Gorskiĭ, Aleksandr Sergeevich
6 Pogrebkov, Andrei K.
5 Eynard, Bertrand
5 Fehér, László Gy.
5 Konopelchenko, Boris Georgievich
5 Lee, Seung-Yeop
5 Levkovich-Maslyuk, Fedor
5 Morozov, Alexei Yurievich
5 Orlov, Aleksandr Yu.
5 Ruijsenaars, Simon N. M.
5 Teodorescu, Razvan M.
5 Zotov, Andrei V.
4 Alexandrov, Alexander Sergeevich
4 Ameur, Yacin
4 Baseilhac, Pascal
4 Bertola, Marco
4 Cavaglià, Andrea
4 Crampé, Nicolas
4 Ghoshal, Debashis
4 Gustafsson, Bjorn
4 Khusnutdinova, Karima Robertovna
4 Klevtsov, Semyon
4 Krasovsky, Igor V.
4 Loutsenko, Igor M.
4 Medina, Elena
4 Mineev-Weinstein, Mark
4 Ryan, Paul
4 Slavnov, Nikita A.
4 Yanenko, Nikolaĭ Nikolaevich
3 Abakumov, M. V.
3 Abdeljawad, Thabet
3 Akemann, Gernot
3 Alzabut, Jehad O.
3 Belliard, Samuel
3 Chicherin, Dmitry
3 Doliwa, Adam
3 Fairon, Maxime
3 Frassek, Rouven
3 Freund, Peter George Oliver
3 Frolov, Sergeĭ Anatol’evich
3 Harnad, John
3 Hone, Andrew N. W.
3 Kostov, Ivan K.
3 Kurt, Nurcan
3 Lerner, Èduard Yul’evich
3 łukowski, Tomasz
3 McDonald, N. Robb
3 Meneghelli, Carlo
3 Moriyama, Sanefumi
3 Natanzon, Sergei M.
3 Nekrasov, Nikita Alexandrovich
3 Odesskii, Alexander
3 Parikh, Sarthak
3 Popov, Yurii P.
3 Pusztai, Béla Gábor
3 Spiridonov, Vyacheslav Pavlovich
3 Staudacher, Matthias
3 Takasaki, Kanehisa
3 Teo, Lee-Peng
3 Toro, Eleuterio F.
3 Tu, Minghsien
3 Vasilev, Alexander
3 Vinet, Luc
3 Yermolayeva, Oksana
3 Zhedanov, Alexei S.
3 Zúñiga-Galindo, Wilson A.
2 Agam, Oded
2 Ahmad, Bashir
2 Alexandrov, Sergei Yu.
2 Alonso, L. Martínez
2 Al-saedi, Ahmed Eid Salem
2 Amaba, Takafumi
2 Arai, Asao
2 Avan, Jean
2 Babelon, Olivier
2 Bajnok, Zoltán
2 Beisert, Niklas
2 Bender, Martin H.
2 Bettelheim, Eldad
2 Billey, E.
2 Bleher, Pavel M.
2 Bourgine, Jean-Emile
2 Braden, Harry W.
2 Bradley, Patrick Erik
2 Brihaye, Yves
...and 516 more Authors
all top 5

Cited in 122 Serials

62 Nuclear Physics. B
54 Journal of High Energy Physics
51 Communications in Mathematical Physics
47 Theoretical and Mathematical Physics
43 Journal of Mathematical Physics
18 Letters in Mathematical Physics
13 Journal of Physics A: Mathematical and Theoretical
9 Physica D
8 Computers and Fluids
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Journal of Computational Physics
7 Journal of Statistical Physics
7 Journal of Geometry and Physics
7 Journal of Statistical Mechanics: Theory and Experiment
6 Physics Letters. B
6 Computational Mathematics and Mathematical Physics
6 Journal of Nonlinear Mathematical Physics
6 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
5 Annales Henri Poincaré
5 Analysis and Mathematical Physics
4 International Journal of Modern Physics A
4 Reviews in Mathematical Physics
3 Advances in Mathematics
3 Duke Mathematical Journal
3 Constructive Approximation
3 Journal of Mathematical Sciences (New York)
3 St. Petersburg Mathematical Journal
3 Proceedings of the Steklov Institute of Mathematics
3 Mathematical Modelling of Natural Phenomena
2 International Journal of Modern Physics B
2 Journal of Fluid Mechanics
2 Nonlinearity
2 Physics Letters. A
2 Russian Mathematical Surveys
2 Chaos, Solitons and Fractals
2 The Annals of Probability
2 Journal of Computational and Applied Mathematics
2 Applied Numerical Mathematics
2 Bulletin of the American Mathematical Society. New Series
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Annals of Mathematics. Second Series
2 Advances in Difference Equations
2 Complex Analysis and Operator Theory
1 Communications on Pure and Applied Mathematics
1 Fluid Dynamics
1 Journal of Applied Mathematics and Mechanics
1 Journal of the Franklin Institute
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Reports
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Prikladnaya Matematika i Mekhanika
1 Fortschritte der Physik
1 Applied Mathematics and Computation
1 Functional Analysis and its Applications
1 International Journal of Mathematics and Mathematical Sciences
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of Approximation Theory
1 Journal of Combinatorial Theory. Series A
1 Journal of Number Theory
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Nagoya Mathematical Journal
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Studies in Applied Mathematics
1 Transactions of the American Mathematical Society
1 Advances in Applied Mathematics
1 Acta Applicandae Mathematicae
1 Annals of Global Analysis and Geometry
1 Probability Theory and Related Fields
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 Journal of Scientific Computing
1 International Journal of Mathematics
1 European Journal of Applied Mathematics
1 The Journal of Geometric Analysis
1 International Journal of Computer Mathematics
1 Linear Algebra and its Applications
1 Stochastic Processes and their Applications
1 Journal of Nonlinear Science
1 Russian Mathematics
1 Journal of Algebraic Combinatorics
1 Physics of Fluids
1 Computational and Applied Mathematics
1 Fractals
1 Bulletin des Sciences Mathématiques
1 Advances in Computational Mathematics
1 Journal of Difference Equations and Applications
1 Electronic Journal of Probability
1 Bernoulli
1 Doklady Mathematics
1 Abstract and Applied Analysis
1 Journal of Inequalities and Applications
1 Algebras and Representation Theory
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 New Journal of Physics
1 Doklady Physics
1 International Journal of Modern Physics C
...and 22 more Serials
all top 5

Cited in 51 Fields

238 Quantum theory (81-XX)
153 Dynamical systems and ergodic theory (37-XX)
112 Statistical mechanics, structure of matter (82-XX)
93 Partial differential equations (35-XX)
54 Nonassociative rings and algebras (17-XX)
46 Fluid mechanics (76-XX)
43 Algebraic geometry (14-XX)
39 Special functions (33-XX)
34 Difference and functional equations (39-XX)
32 Linear and multilinear algebra; matrix theory (15-XX)
32 Functions of a complex variable (30-XX)
31 Relativity and gravitational theory (83-XX)
27 Probability theory and stochastic processes (60-XX)
25 Number theory (11-XX)
19 Global analysis, analysis on manifolds (58-XX)
18 Ordinary differential equations (34-XX)
18 Operator theory (47-XX)
17 Associative rings and algebras (16-XX)
17 Differential geometry (53-XX)
17 Mechanics of particles and systems (70-XX)
16 Combinatorics (05-XX)
16 Numerical analysis (65-XX)
15 Topological groups, Lie groups (22-XX)
9 Group theory and generalizations (20-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
8 Potential theory (31-XX)
6 Manifolds and cell complexes (57-XX)
5 Commutative algebra (13-XX)
5 Real functions (26-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Functional analysis (46-XX)
5 Statistics (62-XX)
4 Abstract harmonic analysis (43-XX)
3 Algebraic topology (55-XX)
2 General and overarching topics; collections (00-XX)
2 Field theory and polynomials (12-XX)
2 Approximations and expansions (41-XX)
2 Integral equations (45-XX)
2 Computer science (68-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Astronomy and astrophysics (85-XX)
2 Biology and other natural sciences (92-XX)
2 Systems theory; control (93-XX)
1 History and biography (01-XX)
1 Measure and integration (28-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Mechanics of deformable solids (74-XX)
1 Geophysics (86-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year