Persons: Zabrodin, Anton Vladimirovich

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Zabrodin, Anton Vladimirovich

Statistics Math-Net.Ru
Total publications:	47
Scientific articles:	46
Presentations:	9

Number of views:
This page:	1954
Abstract pages:	14513
Full texts:	4396
References:	1423

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).

https://www.mathnet.ru/eng/person17772

List of publications on Google Scholar

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/186070

https://elibrary.ru/author_items.asp?authorid=12188

	Publications in Math-Net.Ru	Citations
	2024
1.	A. V. Zabrodin, V. V. Prokofev, “Elliptic Cauchy matrices”, Funktsional. Anal. i Prilozhen., 58:3 (2024), 77–88 ; Funct. Anal. Appl., 58:3 (2024), 289–298
	2023
2.	I. Krichever, A. Zabrodin, “Monodromy free linear equations and many-body systems”, Lett. Math. Phys., 113 (2023), 75–36
3.	A. V. Zabrodin, “On integrability of the deformed Ruijsenaars–Schneider system”, Uspekhi Mat. Nauk, 78:2(470) (2023), 149–188 ; Russian Math. Surveys, 78:2 (2023), 349–386
4.	A. V. Zabrodin, V. V. Prokofev, “Tau-function of the B-Toda hierarchy”, TMF, 217:2 (2023), 299–316 ; Theoret. and Math. Phys., 217:2 (2023), 1673–1688	2
5.	A. V. Zabrodin, “Dyson diffusion on a curved contour”, TMF, 216:2 (2023), 226–233 ; Theoret. and Math. Phys., 216:2 (2023), 1104–1109
	2022
6.	A. Zabrodin, A. Zotov, “Field analogue of the Ruijsenaars–Schneider model”, JHEP, 2022:7 (2022), 023, 51 pp.	7
7.	Takashi Takebe, Anton Zabrodin, “Dispersionless version of the constrained Toda hierarchy and symmetric radial Löwner equation”, Lett. Math. Phys., 112 (2022), 105–25	1
8.	A. V. Zabrodin, “Elliptic families of solutions of the constrained Toda hierarchy”, TMF, 213:1 (2022), 57–64 ; Theoret. and Math. Phys., 213:1 (2022), 1362–1368	2
	2021
9.	A. Zabrodin, “How Calogero–Moser particles can stick together”, J. Phys. A, 54:22 (2021), 225201, 7 pp.	2
10.	V. V. Prokofev, A. V. Zabrodin, “Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars–Schneider model”, TMF, 208:2 (2021), 282–309 ; Theoret. and Math. Phys., 208:2 (2021), 1093–1115	5
11.	A. V. Zabrodin, “Kadomtsev–Petviashvili hierarchies of types B and C”, TMF, 208:1 (2021), 15–38 ; Theoret. and Math. Phys., 208:1 (2021), 865–885	7
	2020
12.	N. Slavnov, A. Zabrodin, A. Zotov, “Scalar products of Bethe vectors in the 8-vertex model”, JHEP, 2020:6 (2020), 123, 53 pp.	9
13.	M. Vasilyev, A. Zabrodin, A. Zotov, “Quantum-classical correspondence for gl(1\|1) supersymmetric Gaudin magnet with boundary”, J. Phys. A, 53:49 (2020), 494002, 20 pp.	1
14.	M. Vasilyev, A. Zabrodin, A. Zotov, “Quantum-classical duality for Gaudin magnets with boundary”, Nuclear Phys. B, 952 (2020), 114931–20	3
15.	V. V. Prokofev, A. V. Zabrodin, “Matrix Kadomtsev–Petviashvili Hierarchy and Spin Generalization of Trigonometric Calogero–Moser Hierarchy”, Trudy Mat. Inst. Steklova, 309 (2020), 241–256 ; Proc. Steklov Inst. Math., 309 (2020), 225–239	2
16.	D. S. Rudneva, A. V. Zabrodin, “Elliptic solutions of the semidiscrete B-version of the Kadomtsev–Petviashvili equation”, TMF, 204:3 (2020), 445–452 ; Theoret. and Math. Phys., 204:3 (2020), 1209–1215
	2019
17.	A. V. Zabrodin, “Elliptic solutions to integrable nonlinear equations and many-body systems”, J. Geom. Phys., 146 (2019), 103506–26	18
18.	A. Grekov, A. Zabrodin, A. Zotov, “Supersymmetric extension of qKZ-Ruijsenaars correspondence”, Nuclear Phys. B, 939 (2019), 174–190	6
19.	A. V. Zabrodin, “Matrix modified Kadomtsev–Petviashvili hierarchy”, TMF, 199:3 (2019), 343–356 ; Theoret. and Math. Phys., 199:3 (2019), 771–783	4
	2018
20.	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	8
	2017
21.	A. Zabrodin, A. Zotov, “KZ-Calogero correspondence revisited”, J. Phys. A, 50 (2017), 205202, 12 pp.	8
22.	A. Zabrodin, A. Zotov, “QKZ–Ruijsenaars correspondence revisited”, Nuclear Phys. B, 922 (2017), 113–125	7
23.	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 ; Theoret. and Math. Phys., 192:2 (2017), 1141–1153	3
	2016
24.	M. Beketov, A. Liashyk, A. Zabrodin, A. Zotov, “Trigonometric version of quantum–classical duality in integrable systems”, Nuclear Phys. B, 903 (2016), 150–163	18
	2015
25.	A. Zabrodin, A. Zotov, “Classical-quantum correspondence and functional relations for Painlevé equations”, Constr. Approx., 41:3 (2015), 385–423	4
26.	Zengo Tsuboi, Anton Zabrodin, Andrei Zotov, “Supersymmetric quantum spin chains and classical integrable systems”, JHEP, 2015, no. 5, 086, 43 pp.	14
27.	V. E. Akhmedova, A. V. Zabrodin, “Elliptic parameterization of Pfaff integrable hierarchies in the zero-dispersion limit”, TMF, 185:3 (2015), 410–422 ; Theoret. and Math. Phys., 185:3 (2015), 1718–1728	5
	2014
28.	A. Gorsky, A. Zabrodin, A. Zotov, “Spectrum of quantum transfer matrices via classical many-body systems”, JHEP, 2014, no. 1, 070, 28 pp.	25
29.	Anton Zabrodin, “The Master $T$-Operator for Inhomogeneous $XXX$ Spin Chain and mKP Hierarchy”, SIGMA, 10 (2014), 006, 18 pp.	10
	2013
30.	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 ; Theoret. and Math. Phys., 174:1 (2013), 52–67	15
	2012
31.	A. Zabrodin, A. Zotov, “Quantum Painlevé–Calogero correspondence for Painlevé VI”, J. Math. Phys., 53:7 (2012), 73508, 19 pp.	20
32.	A. Zabrodin, A. Zotov, “Quantum Painlevé–Calogero correspondence”, J. Math. Phys., 53:7 (2012), 73507, 19 pp.	28
	2011
33.	D. V. Vasiliev, A. V. Zabrodin, “Self-similar solutions of the Laplacian growth problem in the half-plane”, TMF, 166:1 (2011), 28–43 ; Theoret. and Math. Phys., 166:1 (2011), 23–36
	2008
34.	A. V. Zabrodin, “Bäcklund transformations for the difference Hirota equation and the supersymmetric Bethe ansatz”, TMF, 155:1 (2008), 74–93 ; Theoret. and Math. Phys., 155:1 (2008), 567–584	26
	2005
35.	A. V. Zabrodin, “Whitham hierarchy in growth problems”, TMF, 142:2 (2005), 197–217 ; Theoret. and Math. Phys., 142:2 (2005), 166–182	8
	2003
36.	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 ; Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 2, S8–S23	2
	2001
37.	A. V. Zabrodin, “Dispersionless Limit of Hirota Equations in Some Problems of Complex Analysis”, TMF, 129:2 (2001), 239–257 ; Theoret. and Math. Phys., 129:2 (2001), 1511–1525	51
	2000
38.	A. V. Zabrodin, “Hidden quantum $R$-matrix in the discrete-time classical Heisenberg magnet”, TMF, 125:2 (2000), 179–204 ; Theoret. and Math. Phys., 125:2 (2000), 1455–1475
	1998
39.	A. V. Zabrodin, “Hirota equation and Bethe ansatz”, TMF, 116:1 (1998), 54–100 ; Theoret. and Math. Phys., 116:1 (1998), 782–819	22
	1997
40.	A. V. Zabrodin, “A survey of Hirota's difference equations”, TMF, 113:2 (1997), 179–230 ; Theoret. and Math. Phys., 113:2 (1997), 1347–1392	77
	1995
41.	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 ; Russian Math. Surveys, 50:6 (1995), 1101–1150	79
42.	A. V. Zabrodin, “Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems”, TMF, 104:1 (1995), 8–24 ; Theoret. and Math. Phys., 104:1 (1995), 762–776	12
	1990
43.	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 ; Theoret. and Math. Phys., 85:3 (1990), 1321–1325	1
	1989
44.	A. V. Zabrodin, “Fermions on a Riemann surface and the Kadomtsev–Petviashvili equation”, TMF, 78:2 (1989), 234–247 ; Theoret. and Math. Phys., 78:2 (1989), 167–177	4
	1987
45.	A. V. Zabrodin, “On the irreducible part of the current correlation function in quantum completely integrable models”, TMF, 71:2 (1987), 208–217 ; Theoret. and Math. Phys., 71:2 (1987), 485–491
	1985
46.	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 ; Theoret. and Math. Phys., 62:2 (1985), 205–210	4

	2021
47.	V. M. Buchstaber, A. N. Varchenko, A. P. Veselov, P. G. Grinevich, S. Grushevsky, S. Yu. Dobrokhotov, A. V. Zabrodin, A. V. Marshakov, A. E. Mironov, N. A. Nekrasov, S. P. Novikov, A. Yu. Okounkov, M. A. Olshanetsky, A. K. Pogrebkov, I. A. Taimanov, M. A. Tsfasman, L. O. Chekhov, O. K. Sheinman, S. B. Shlosman, “Igor' Moiseevich Krichever (on his 70th birthday)”, Uspekhi Mat. Nauk, 76:4(460) (2021), 183–193 ; Russian Math. Surveys, 76:4 (2021), 733–743	1

Presentations in Math-Net.Ru

1.	Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model A. V. Zabrodin International Conference «Quantum Integrability and Geometry» Dedicated to 60th Anniversaries of N. A. Slavnov and L. O. Chekhov June 2, 2022 10:40
2.	Field analog of the Ruijsenaars-Schneider model from elliptic families of solutions to the 2D Toda lattice A. V. Zabrodin International Conference "Integrability" Dedicated to 75th Anniversary of A. K. Pogrebkov September 24, 2021 10:40
3.	Kadomtsev-Petviashvili hierarchies of types B and C A. V. Zabrodin Cohomological geometry of differential equations May 19, 2021 19:20
4.	KP hierarchy and Calogero–Moser hierarchy A. V. Zabrodin International conference in memory of M. K. Polivanov "Polivanov–90" December 17, 2020 15:00
5.	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
6.	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
7.	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
8.	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
9.	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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