Persons: Dubrovin, Boris Anatol'evich

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Dubrovin, Boris Anatol'evich
(1950–2019)

Total publications:	39 (35)
in MathSciNet:	34 (32)
in zbMATH:	31 (29)
in Web of Science:	16 (14)
in Scopus:	9 (9)
Cited articles:	33
Citations:	2399
Presentations:	23

Number of views:
This page:	13623
Abstract pages:	30919
Full texts:	12452
References:	1839

Professor

Doctor of physico-mathematical sciences (1984)

Birth date:

6.04.1950

Website:

http://people.sissa.it/~dubrovin/; http://letopis.msu.ru/peoples/6317

Subject:

Theory of integrable systems in Geometry and Mathematical Physics, including Frobenius manifolds, relationships with quantum cohomology, singularity theory, reflection groups and their generalizations. Integrable hierarchies of topological type. Hamiltonian perturbations of hyperbolic systems. Geometry of isomonodromy deformations. Theta-functions of Riemann surfaces and nonlinear waves.

Photo album: Dubrovin Boris Anatol'evich (1950–2019)

https://www.mathnet.ru/eng/person21899

https://ru.wikipedia.org/wiki/Dubrovin,_Boris_Anatolevich

https://scholar.google.com/citations?user=aWCzql8AAAAJ&hl=en

https://zbmath.org/authors/ai:dubrovin.boris-a

https://mathscinet.ams.org/mathscinet/MRAuthorID/191586

https://elibrary.ru/author_items.asp?authorid=627632

https://www.scopus.com/authid/detail.url?authorId=6602775156

https://www.researchgate.net/profile/B_Dubrovin

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2022
1.	Boris Dubrovin, Daniele Valeri, Di Yang, “Affine Kac–Moody Algebras and Tau-Functions for the Drinfeld–Sokolov Hierarchies: the Matrix-Resolvent Method”, SIGMA, 18 (2022), 77 , 32 pp., arXiv: 2110.06655 ;	1 ^[x]

2021
2.	Marco Bertola, Boris Dubrovin, Di Yang, “Simple Lie algebras, Drinfeld–Sokolov hierarchies, and multi-point correlation functions”, Mosc. Math. J., 21:2 (2021), 233–270 ;	7 ^[x]

2020
3.	Giordano Cotti, Boris Dubrovin, Davide Guzzetti, “Local Moduli of Semisimple Frobenius Coalescent Structures”, SIGMA, 16 (2020), 40 , 105 pp., arXiv: 1712.08575 ;	10 ^[x]

2019
4.	Boris Dubrovin, Ian A. B. Strachan, Youjin Zhang, Dafeng Zuo, “Extended affine Weyl groups of BCD-type: Their Frobenius manifolds and Landau–Ginzburg superpotentials”, Adv. Math., 351 (2019), 897–946	20 ^[x]

2018
5.	Boris Dubrovin, Andrei Kapaev, “A Riemann–Hilbert Approach to the Heun Equation”, SIGMA, 14 (2018), 93 , 24 pp.	7 ^[x]

2017
6.	Boris Dubrovin, Di Yang, Don Zagier, “Classical Hurwitz numbers and related combinatorics”, Mosc. Math. J., 17:4 (2017), 601–633	14 ^[x]

2016
7.	V. E. Adler, Yu. Yu. Berest, V. M. Buchstaber, P. G. Grinevich, B. A. Dubrovin, I. M. Krichever, S. P. Novikov, A. N. Sergeev, M. V. Feigin, J. Felder, E. V. Ferapontov, O. A. Chalykh, P. I. Etingof, “Alexander Petrovich Veselov (on his 60th birthday)”, Russian Math. Surveys, 71:6 (2016), 1159–1176

2015
8.	B. Dubrovin, T. Grava, C. Klein, A. Moro, “On critical behaviour in systems of Hamiltonian partial differential equations”, J. Nonlinear Sci., 25:3 (2015), 631–707	23 ^[x]

2014
9.	A. Belavin, B. Mukhametzhanov, B. Dubrovin, “Minimal Liouville gravity correlation numbers from Douglas string equation”, J. High Energy Phys., 18:1 (2014), 156 , 50 pp.	19 ^[x]

2013
10.	A. M. Vershik, A. P. Veselov, A. A. Gaifullin, B. A. Dubrovin, A. B. Zhizhchenko, I. M. Krichever, A. A. Mal'tsev, D. V. Millionshchikov, S. P. Novikov, T. E. Panov, A. G. Sergeev, I. A. Taimanov, “Viktor Matveevich Buchstaber (on his 70th birthday)”, Russian Math. Surveys, 68:3 (2013), 581–590

2012
11.	B. A. Dubrovin, T. V. Skrypnik, “Classical double, $R$-operators, and negative flows of integrable hierarchies”, Theoret. and Math. Phys., 172:1 (2012), 911–931

2011
12.	B. A. Dubrovin, S. A. Zykov, M. V. Pavlov, “Linearly degenerate Hamiltonian PDEs and a new class of solutions to the WDVV associativity equations”, Funct. Anal. Appl., 45:4 (2011), 278–290

2008
13.	B. A. Dubrovin, “Hamiltonian PDEs and Frobenius manifolds”, Russian Math. Surveys, 63:6 (2008), 999–1010

2004
14.	G. Carlet, B. A. Dubrovin, Y. Zhang, “The extended Toda hierarchy”, Mosc. Math. J., 4:2 (2004), 313–332	106 ^[x]

1990
15.	B. A. Dubrovin, “Differential geometry of strongly integrable systems of hydrodynamic type”, Funct. Anal. Appl., 24:4 (1990), 280–285

1989
16.	B. A. Dubrovin, “Differential-geometric Poisson brackets on a lattice”, Funct. Anal. Appl., 23:2 (1989), 131–133
17.	B. A. Dubrovin, S. P. Novikov, “Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory”, Russian Math. Surveys, 44:6 (1989), 35–124
18.	B. A. Dubrovin, S. M. Natanzon, “Real theta-function solutions of the Kadomtsev–Petviashvili equation”, Math. USSR-Izv., 32:2 (1989), 269–288

1985
19.	B. A. Dubrovin, I. M. Krichever, S. P. Novikov, “Integrable systems. I”, Dynamical systems – 4, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 4, VINITI, Moscow, 1985, 179–277

1984
20.	B. A. Dubrovin, S. P. Novikov, “Poisson brackets of hydrodynamic type”, Dokl. Akad. Nauk SSSR, 279:2 (1984), 294–297
21.	S. A. Nazarov, A. L. Krylov, A. E. Lifshits, V. A. Vassiliev, A. V. Mikhailov, B. A. Dubrovin, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 39:2(236) (1984), 217–221

1985
22.	B. A. Dubrovin, “Matrix finite-gap operators”, J. Soviet Math., 28:1 (1985), 20–50

1983
23.	B. A. Dubrovin, S. P. Novikov, “Hamiltonian formalism of one-dimensional systems of hydrodynamic type, and the Bogolyubov–Whitman averaging method”, Dokl. Akad. Nauk SSSR, 270:4 (1983), 781–785

1982
24.	B. A. Dubrovin, S. M. Natanzon, “Real two-zone solutions of the sine-Gordon equation”, Funct. Anal. Appl., 16:1 (1982), 21–33
25.	B. A. Dubrovin, “Analytical properties of spectral data for nonselfadjoint linear operators connected with real periodic solutions of the sine-Gordon equation”, Dokl. Akad. Nauk SSSR, 265:4 (1982), 789–793
26.	B. A. Dubrovin, S. P. Novikov, “Algebro-geometric Poisson brackets for real finite-zone solutions of the sine-Gordon equation and the nonlinear Schrödinger equation”, Dokl. Akad. Nauk SSSR, 267:6 (1982), 1295–1300
27.	B. A. Dubrovin, “The Kadomtsev–Petviashvili equation and the relations between the periods of holomorphic differentials on Riemann surfaces”, Math. USSR-Izv., 19:2 (1982), 285–296

1981
28.	B. A. Dubrovin, “Theta functions and non-linear equations”, Russian Math. Surveys, 36:2 (1981), 11–92

1980
29.	B. A. Dubrovin, “On S. P. Novikov's conjecture in the theory of $\theta$-functions and nonlinear equations of Korteweg–de Vries and Kadomtsev–Petviashvili type”, Dokl. Akad. Nauk SSSR, 251:3 (1980), 541–544
30.	B. A. Dubrovin, S. P. Novikov, “Ground states in a periodic field. Magnetic Bloch functions and vector bundles”, Dokl. Akad. Nauk SSSR, 253:6 (1980), 1293–1297
31.	V. P. Myasnikov, M. V. Fedoryuk, C. Boldrighini, R. L. Dobrushin, Yu. M. Sukhov, A. S. Schwarz, S. L. Ziglin, B. A. Dubrovin, S. P. Novikov, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 35:5(215) (1980), 251–256

1977
32.	B. A. Dubrovin, “Completely integrable Hamiltonian systems associated with matrix operators and Abelian varieties”, Funct. Anal. Appl., 11:4 (1977), 265–277

1976
33.	B. A. Dubrovin, “Finite band linear differential operators and Abelian varieties”, Uspekhi Mat. Nauk, 31:4(190) (1976), 259–260
34.	B. A. Dubrovin, V. B. Matveev, S. P. Novikov, “Non-linear equations of Korteweg–de Vries type, finite-zone linear operators, and Abelian varieties”, Russian Math. Surveys, 31:1 (1976), 59–146
35.	B. A. Dubrovin, I. M. Krichever, S. P. Novikov, “The Schrödinger equation in a periodic field and Riemann surfaces”, Dokl. Akad. Nauk SSSR, 229:1 (1976), 15–18

1975
36.	B. A. Dubrovin, “Periodic problems for the Korteweg–de Vries equation in the class of finite band potentials”, Funct. Anal. Appl., 9:3 (1975), 215–223
37.	B. A. Dubrovin, “Inverse problem for periodic finite-zoned potentials in the theory of scattering”, Funct. Anal. Appl., 9:1 (1975), 61–62

1974
38.	B. A. Dubrovin, S. P. Novikov, “A periodicity problem for the Korteweg–de Vries and Sturm–Liouville equations. Their connection with algebraic geometry”, Dokl. Akad. Nauk SSSR, 219:3 (1974), 531–534

1973
39.	B. A. Dubrovin, “Generalized Witt groups”, Math. Notes, 13:3 (1973), 253–257

Presentations in Math-Net.Ru

1.	Generating series for GUE correlators B. A. Dubrovin 5th Workshop on Combinatorics of Moduli Spaces, Hurwitz Spaces and Cohomological Field Theories June 10, 2016 10:00
2.	Phase transitions in solutions of nonlinear PDEs and in random matrices B. A. Dubrovin Globus Seminar August 14, 2014 15:40
3.	Phase transitions in nonlinear evolution PDEs B. A. Dubrovin The International Conference "Geometric Control Theory and Analysis on Metric Structures" August 5, 2014 10:00
4.	Случайные матрицы и интегрируемые системы, лекция 2 B. A. Dubrovin June 25, 2014 10:40
5.	Случайные матрицы и интегрируемые системы, лекция 1 B. A. Dubrovin June 25, 2014 09:30
6.	Пертурбативный анализ интегрируемых гамильтоновых уравнений в частных производных B. A. Dubrovin I. M. Gelfand and Modern Mathematics December 19, 2013 11:45
7.	Инварианты Громова–Виттена и интегрируемые системы топологического типа B. A. Dubrovin Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) July 31, 2013 14:00
8.	From Gromov–Witten invariants to integrable systems B. A. Dubrovin International conference "Geometry, Topology, Integrable Systems" in honour of S. P. Novikovs 75th birthday June 17, 2013 12:45
9.	Frobenius Manifolds and Integrable Systems B. A. Dubrovin Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models" June 12, 2013 15:00
10.	Frobenius manifolds B. A. Dubrovin Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models" May 15, 2013 14:30
11.	Asymptotic and numerical methods in study of the generalized Burgers equation M. S. Elaeva, B. A. Dubrovin International Workshop «Geometric Structures in Integrable Systems» November 1, 2012 11:50
12.	Deformation of Poisson structures and supermanifolds B. A. Dubrovin Summer School on Geometry and Mathematical Physics 2012 June 25, 2012 11:20
13.	Integrable hierarchies of topological type from dressing transformations B. A. Dubrovin International Topological Conference "Alexandroff Readings" May 24, 2012 10:30
14.	On geometrical structures and properties of solutions to Hamiltonian systems of partial differential equations Boris Dubrovin Steklov Mathematical Institute Seminar November 10, 2011 16:00
15.	Introduction to the theory of Frobenius manifolds. Lecture 2 B. A. Dubrovin Summer School on Geometry and Mathematical Physics 2011 June 29, 2011 10:00
16.	Introduction to the theory of Frobenius manifolds. Lecture 2 B. A. Dubrovin Summer School on Geometry and Mathematical Physics 2011 June 28, 2011 11:40
17.	Introduction to the theory of Frobenius manifolds. Lecture 1 B. A. Dubrovin Summer School on Geometry and Mathematical Physics 2011 June 27, 2011 10:00
18.	An introduction to the theory of Hamiltonian partial differential equations. III B. A. Dubrovin School on Geometrical Methods of Mathematical Physics for graduate and Ph D students December 10, 2010 12:00
19.	An introduction to the theory of Hamiltonian partial differential equations. II B. A. Dubrovin School on Geometrical Methods of Mathematical Physics for graduate and Ph D students December 9, 2010 12:00
20.	An introduction to the theory of Hamiltonian partial differential equations. I B. A. Dubrovin School on Geometrical Methods of Mathematical Physics for graduate and Ph D students December 8, 2010 12:00
21.	Гамильтоновы уравнения в частных производных: геометрические структуры и свойства решений B. A. Dubrovin Meetings of the Moscow Mathematical Society November 16, 2010 18:30
22.	Critical behaviour in nonlinear Hamiltonian PDEs and Painlevé transcendents B. A. Dubrovin International Conference of Steklov Institute Members, working outside Russia June 5, 2009 11:05
23.	Hamiltonian PDEs and Frobenius varieties B. A. Dubrovin Novikov Day (to the 70th birthday of academician S. P. Novikov) June 3, 2008 10:40

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