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Zabrodin, Anton Vladimirovich

Statistics Math-Net.Ru
Total publications: 19
Scientific articles: 19
Presentations: 5

Number of views:
This page:1104
Abstract pages:7269
Full texts:1857
References:676
Doctor of physico-mathematical sciences (1998)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 2.04.1961
E-mail:
Keywords: integrable systems; inverse scattering method; non-linear integrable hierarchies.
   
Main publications:
  • Nonarchimedean strings and Bruhat–Tits trees // Commun Math. Phys., 1989, 123, 463.
  • Towards unified theory of 2d gravity // Nucl. Phys., 1992, v 380, 181–240 (with S. Kharchev, A. Marhsakov, A. Mironov, A. Morozov).
  • Quantum group and magnetic translations. Bethe ansatz for the Asbel-Hofstadter problem // Nucl. Phys., 1994. v 422, 495–514 (with P. Wiegmann).
  • Quantum integrable systems and elliptic solutions of classical discrete nonlinear equations // Commun. Math. Phys., 1997, 188, 267–304 (with  I. Krichever, O. Lipan, P. Wiegmann).
  • Conformal maps and integrable hierarchies // Commun. Math. Phys., 2000, 213, 523–538 (with P. Wiegmann).

http://www.mathnet.ru/eng/person17772
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/186070

Publications in Math-Net.Ru
2019
1. A. Grekov, A. Zabrodin, A. Zotov, “Supersymmetric extension of qKZ-Ruijsenaars correspondence”, Nuclear Phys. B, 939 (2019),  174–190  mathnet  isi  scopus
2. A. V. Zabrodin, “Matrix modified Kadomtsev–Petviashvili hierarchy”, TMF, 199:3 (2019),  343–356  mathnet  elib; Theoret. and Math. Phys., 199:3 (2019), 771–783  isi  scopus
2018
3. A. V. Zabrodin, A. V. Zotov, “Self–dual form of Ruijsenaars–Schneider models and ILW equation with discrete Laplacian”, Nuclear Phys. B, 927 (2018),  550–565  mathnet  isi  scopus
2017
4. A. Zabrodin, A. Zotov, “KZ-Calogero correspondence revisited”, J. Phys. A, 50 (2017), 205202, 12 pp.  mathnet  isi  scopus
5. A. Zabrodin, A. Zotov, “QKZ–Ruijsenaars correspondence revisited”, Nuclear Phys. B, 922 (2017),  113–125  mathnet  isi  scopus
6. A. V. Zabrodin, A. V. Zotov, A. N. Liashyk, D. S. Rudneva, “Asymmetric six-vertex model and the classical Ruijsenaars–Schneider system of particles”, TMF, 192:2 (2017),  235–249  mathnet  mathscinet  elib; Theoret. and Math. Phys., 192:2 (2017), 1141–1153  isi  scopus
2016
7. M. Beketov, A. Liashyk, A. Zabrodin, A. Zotov, “Trigonometric version of quantum–classical duality in integrable systems”, Nuclear Phys. B, 903 (2016),  150–163  mathnet  mathscinet  zmath  isi  elib  scopus
2015
8. A. Zabrodin, A. Zotov, “Classical-quantum correspondence and functional relations for Painlevé equations”, Constr. Approx., 41:3 (2015),  385–423  mathnet  mathscinet  zmath  isi  elib  scopus
9. Zengo Tsuboi, Anton Zabrodin, Andrei Zotov, “Supersymmetric quantum spin chains and classical integrable systems”, JHEP, 2015, 5, 086, 43 pp.  mathnet  isi  elib  scopus
10. V. E. Akhmedova, A. V. Zabrodin, “Elliptic parameterization of Pfaff integrable hierarchies in the zero-dispersion limit”, TMF, 185:3 (2015),  410–422  mathnet  mathscinet  elib; Theoret. and Math. Phys., 185:3 (2015), 1718–1728  isi  scopus
2014
11. A. Gorsky, A. Zabrodin, A. Zotov, “Spectrum of quantum transfer matrices via classical many-body systems”, JHEP, 2014, 1, 070, 28 pp.  mathnet  mathscinet  zmath  isi  scopus
12. Anton Zabrodin, “The Master $T$-Operator for Inhomogeneous $XXX$ Spin Chain and mKP Hierarchy”, SIGMA, 10 (2014), 006, 18 pp.  mathnet  mathscinet  isi  scopus
2013
13. A. V. Zabrodin, “The master $T$-operator for vertex models with trigonometric $R$-matrices as a classical $\tau$-function”, TMF, 174:1 (2013),  59–76  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 174:1 (2013), 52–67  isi  elib  scopus
2012
14. A. Zabrodin, A. Zotov, “Quantum Painlevé–Calogero correspondence for Painlevé VI”, J. Math. Phys., 53:7 (2012), 73508, 19 pp.  mathnet  mathscinet  zmath  isi  scopus
15. A. Zabrodin, A. Zotov, “Quantum Painlevé–Calogero correspondence”, J. Math. Phys., 53:7 (2012), 73507, 19 pp.  mathnet  mathscinet  zmath  isi  scopus
2011
16. D. V. Vasiliev, A. V. Zabrodin, “Self-similar solutions of the Laplacian growth problem in the half-plane”, TMF, 166:1 (2011),  28–43  mathnet  mathscinet; Theoret. and Math. Phys., 166:1 (2011), 23–36  isi  scopus
2008
17. A. V. Zabrodin, “Bäcklund transformations for the difference Hirota equation and the supersymmetric Bethe ansatz”, TMF, 155:1 (2008),  74–93  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 155:1 (2008), 567–584  isi  scopus
2005
18. A. V. Zabrodin, “Whitham hierarchy in growth problems”, TMF, 142:2 (2005),  197–217  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 142:2 (2005), 166–182  isi  elib
2003
19. G. V. Dolgoleva, A. V. Zabrodin, O. B. Khairullina, “Computational construction of the microtargets on the basis of realization of shockless compression conception”, Trudy Inst. Mat. i Mekh. UrO RAN, 9:2 (2003),  41–54  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 2, S8–S23
2001
20. A. V. Zabrodin, “Dispersionless Limit of Hirota Equations in Some Problems of Complex Analysis”, TMF, 129:2 (2001),  239–257  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 129:2 (2001), 1511–1525  isi
2000
21. A. V. Zabrodin, “Hidden quantum $R$-matrix in the discrete-time classical Heisenberg magnet”, TMF, 125:2 (2000),  179–204  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 125:2 (2000), 1455–1475  isi
1998
22. A. V. Zabrodin, “Hirota equation and Bethe ansatz”, TMF, 116:1 (1998),  54–100  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 116:1 (1998), 782–819  isi
1997
23. A. V. Zabrodin, “A survey of Hirota's difference equations”, TMF, 113:2 (1997),  179–230  mathnet  mathscinet; Theoret. and Math. Phys., 113:2 (1997), 1347–1392  isi
1995
24. I. M. Krichever, A. V. Zabrodin, “Spin generalization of the Ruijsenaars–Schneider model, the non-Abelian Toda chain, and representations of the Sklyanin algebra”, Uspekhi Mat. Nauk, 50:6(306) (1995),  3–56  mathnet  mathscinet  zmath; Russian Math. Surveys, 50:6 (1995), 1101–1150  isi
25. A. V. Zabrodin, “Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems”, TMF, 104:1 (1995),  8–24  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 104:1 (1995), 762–776  isi
1990
26. A. V. Zabrodin, A. A. Ovchinnikov, “Single-particle density matrix of a one-dimensional system of spin 1/2 Fermi particles”, TMF, 85:3 (1990),  443–449  mathnet; Theoret. and Math. Phys., 85:3 (1990), 1321–1325  isi
1989
27. A. V. Zabrodin, “Fermions on a Riemann surface and the Kadomtsev–Petviashvili equation”, TMF, 78:2 (1989),  234–247  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 78:2 (1989), 167–177  isi
1987
28. A. V. Zabrodin, “On the irreducible part of the current correlation function in quantum completely integrable models”, TMF, 71:2 (1987),  208–217  mathnet  mathscinet; Theoret. and Math. Phys., 71:2 (1987), 485–491  isi
1985
29. S. N. Gorshkov, A. V. Zabrodin, C. Rodriguez, V. K. Fedyanin, “Feynman's variational principle for a polaron in a magnetic field”, TMF, 62:2 (1985),  304–311  mathnet; Theoret. and Math. Phys., 62:2 (1985), 205–210  isi

Presentations in Math-Net.Ru
1. Dynamics of poles of elliptic solutions to BKP equation
A. Zabrodin
International conference «Integrable systems and applications» in honour of M. A. Olshanetsky 80-th birthday
December 11, 2018 17:00   
2. Dispersionless DKP hierarchy and elliptic Loewner equation
A. V. Zabrodin
Fourth international workshop "Combinatorics of Moduli Spaces, Cluster Algebras and Topological Recursion"
May 30, 2014 16:30   
3. Квантовые спиновые цепочки, классические тау-функции и системы типа Калоджеро-Мозера (продолжение)
A. V. Zabrodin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
April 3, 2014 14:00
4. Квантовые спиновые цепочки, классические тау-функции и системы типа Калоджеро-Мозера
A. V. Zabrodin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
March 20, 2014 14:00
5. Large $N$ expansion for the 2D Dyson gas
A. V. Zabrodin
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 19, 2006

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