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Domrin, Andrei Victorovich
Statistics Math-Net.Ru
Total publications:
20
Scientific articles:
19
Presentations:
50
Number of views:
This page: 5038 Abstract pages: 9685 Full texts: 2957 References: 969
Professor
Doctor of physico-mathematical sciences (2013)
Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
email
Keywords:
soliton equations, analytic continuation.
https://www.mathnet.ru/eng/person8792
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/341864
https://elibrary.ru/author_items.asp?authorid=4659
Publications in Math-Net.Ru
Citations
2022
1.
A. V. Domrin, “On solutions to the matrix nonlinear Schrödinger equation”, Zh. Vychisl. Mat. Mat. Fiz. , 62 :6 (2022), 951–964 ; Comput. Math. Math. Phys. , 62 :6 (2022), 920–932
1
2021
2.
A. V. Domrin, “Tau functions of solutions of soliton equations”, Izv. RAN. Ser. Mat. , 85 :3 (2021), 30–51 ; Izv. Math. , 85 :3 (2021), 367–387
1
3.
A. V. Domrin, “Holomorphic solutions of soliton equations”, Tr. Mosk. Mat. Obs. , 82 :2 (2021), 227–312 ; Trans. Moscow Math. Soc. , 82 (2021), 193–258
2
2020
4.
A. V. Domrin, “Uniqueness theorem for the two-dimensional sigma function”, Funktsional. Anal. i Prilozhen. , 54 :1 (2020), 29–40 ; Funct. Anal. Appl. , 54 :1 (2020), 21–30
5.
A. V. Domrin, B. I. Suleimanov, M. A. Shumkin, “Global Meromorphy of Solutions of the Painlevé Equations and Their Hierarchies”, Trudy Mat. Inst. Steklova , 311 (2020), 106–122 ; Proc. Steklov Inst. Math. , 311 (2020), 98–113
2
2017
6.
A. V. Domrina, A. V. Domrin, “On the Dimension of Solution Spaces of a Noncommutative Sigma Model in the Case of Uniton Number 2”, Trudy Mat. Inst. Steklova , 298 (2017), 112–126 ; Proc. Steklov Inst. Math. , 298 (2017), 104–117
2
2014
7.
A. V. Domrin, “Real-analytic solutions of the nonlinear Schrödinger equation”, Tr. Mosk. Mat. Obs. , 75 :2 (2014), 205–218 ; Trans. Moscow Math. Soc. , 75 (2014), 173–183
8
2012
8.
A. V. Domrin, “On holomorphic solutions of equations of Korteweg–de Vries type”, Tr. Mosk. Mat. Obs. , 73 :2 (2012), 241–257 ; Trans. Moscow Math. Soc. , 73 (2012), 193–206
4
2010
9.
A. V. Domrin, “Meromorphic extension of solutions of soliton equations”, Izv. RAN. Ser. Mat. , 74 :3 (2010), 23–44 ; Izv. Math. , 74 :3 (2010), 461–480
17
2008
10.
A. V. Domrin, A. V. Domrina, “On the divergence of the Kontsevich–Witten series”, Uspekhi Mat. Nauk , 63 :4(382) (2008), 185–186 ; Russian Math. Surveys , 63 :4 (2008), 773–775
3
11.
A. V. Domrin, “Moduli spaces of solutions of a noncommutative sigma model”, TMF , 156 :3 (2008), 307–327 ; Theoret. and Math. Phys. , 156 :3 (2008), 1231–1246
7
12.
A. V. Domrin, “Noncommutative unitons”, TMF , 154 :2 (2008), 220–239 ; Theoret. and Math. Phys. , 154 :2 (2008), 184–200
8
2006
13.
A. V. Domrin, “Remarks on the Local Version of the Inverse Scattering Method”, Trudy Mat. Inst. Steklova , 253 (2006), 46–60 ; Proc. Steklov Inst. Math. , 253 (2006), 37–50
19
2005
14.
A. V. Domrin, “The Riemann Problem and Matrix-Valued Potentials with a Convergent Baker–Akhiezer Function”, TMF , 144 :3 (2005), 453–471 ; Theoret. and Math. Phys. , 144 :3 (2005), 1264–1278
7
2000
15.
A. V. Domrin, “Ginzburg–Landau vortex analogues”, TMF , 124 :1 (2000), 18–35 ; Theoret. and Math. Phys. , 124 :1 (2000), 872–886
3
1996
16.
A. V. Domrin, “Spanning maximal complex cycles by CR-submanifolds”, Mat. Zametki , 60 :5 (1996), 776–777 ; Math. Notes , 60 :5 (1996), 582–583
1
1995
17.
A. V. Domrin, “A description of characteristic classes of real submanifolds in complex manifolds via
RC-singularities”, Izv. RAN. Ser. Mat. , 59 :5 (1995), 19–40 ; Izv. Math. , 59 :5 (1995), 899–918
10
18.
A. V. Domrin, “The number of $\mathbb R\mathbb C$ -singular points on a 4-dimensional real submanifold in a 5-dimensional complex manifold”, Mat. Zametki , 57 :2 (1995), 240–245 ; Math. Notes , 57 :2 (1995), 167–170
4
1993
19.
A. V. Domrin, “Computation of intersection index of totally real and complex disk with common boundary in $\mathbb P^2$ and $\mathbb P^1\times\mathbb P^1$ ”, Mat. Zametki , 53 :4 (1993), 31–35 ; Math. Notes , 53 :4 (1993), 379–382
1994
20.
A. V. Domrin, “Letter to the editor”, Mat. Zametki , 56 :1 (1994), 153 ; Math. Notes , 56 :1 (1994), 759
Presentations in Math-Net.Ru
1.
On holomorphic solutions of the Schwarz-KdV equation A. V. Domrin
Seminar "Complex analysis in several variables" (Vitushkin Seminar) October 23, 2024 16:45
2.
Динамика полюсов для иерархии Кортевега–де Фриза A. V. Domrin
International conference
“Theory of Functions, Operator Theory and Quantum Information Theory” June 9, 2024 11:50
3.
Об одном классе голоморфных решений уравнения Кадомцева–Петвиашвили A. V. Domrin
May 30, 2024 11:40
4.
Poles of solutions of the KdV hierarchy A. V. Domrin
Seminar "Complex analysis in several variables" (Vitushkin Seminar) April 17, 2024 16:45
5.
Properties of real-analytic solutions of the nonlinear Schrödinger equation and related equations A. V. Domrin
Spectral theory, nonlinear problems, and applications December 10, 2023 10:55
6.
Complex-analytical aspects of soliton theory. Lecture 4 A. V. Domrin
Contemporary methods in approximation theory and complex analysis November 17, 2023 16:30
7.
Complex-analytical aspects of soliton theory. Lecture 3 A. V. Domrin
Contemporary methods in approximation theory and complex analysis November 17, 2023 15:00
8.
Complex-analytical aspects of soliton theory. Lecture 2 A. V. Domrin
Contemporary methods in approximation theory and complex analysis November 13, 2023 16:15
9.
Complex-analytical aspects of soliton theory. Lecture 1 A. V. Domrin
Contemporary methods in approximation theory and complex analysis November 13, 2023 15:00
10.
Гамильтоновы аспекты локального метода обратной задачи теории рассеяния A. V. Domrin
Differential geometry and applications October 30, 2023 16:45
11.
Уравнения Пенлеве, одевающие цепочки и глобальная мероморфность A. V. Domrin
Conference on Complex Analysis and its Applications September 11, 2023 15:00
12.
On the global meromorphy of dressing chain solutions A. V. Domrin
International Conference "Theory of Functions, Operator Theory and Quantum Information Theory" June 1, 2023 15:15
13.
On complex-analytic aspects of soliton theory A. V. Domrin
Seminar on Complex Analysis (Gonchar Seminar) March 6, 2023 17:00
14.
Tau functions and their growth A. V. Domrin
Complex analysis and mathematical physics February 14, 2023 16:00
15.
Meromorphic and finite-gap solutions of the KdV hierarchy A. V. Domrin
International Conference "Functions Theory, Operators Theory and Quantum Information Theory" October 20, 2022 12:35
16.
Мероморфные и конечнозонные решения солитонных иерархий A. V. Domrin
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) July 20, 2022 14:00
17.
Soliton equations from the complex analytic point of view A. V. Domrin
Virtual Workshop “Complex Analysis and Geometry” November 19, 2021 14:10
18.
Monodromy-free operators and holomorphic solutions of soliton equations A. V. Domrin
Analysis days in Sirius October 25, 2021 17:45
19.
Интегрируемость и мероморфное продолжение A. V. Domrin
Function Theory, Operator Theory and Quantum Information Theory October 7, 2021 12:45
20.
On solutions of a matrixe nonlinear Schrodinger equation A. V. Domrin
Mathematical Physics, Dynamical Systems and Infinite-Dimensional
Analysis – 2021 July 9, 2021 18:00
21.
On solutions of the matrix nonlinear Schrödinger equation A. V. Domrin
Complex analysis and mathematical physics April 20, 2021 16:00
22.
Symmetry integrability and meromorphic extension A. V. Domrin
Seminar "Complex analysis in several variables" (Vitushkin Seminar) December 2, 2020 16:45
23.
On solutions of the Painlevé equations and
their hierarchies A. V. Domrin
Complex analysis and mathematical physics November 3, 2020 16:00
24.
Свойство Пенлеве для солитонных уравнений. A. V. Domrin
Seminar on Theory of Functions of Real Variables October 30, 2020 18:30
25.
Analytic continuation of solutions of differential equations A. V. Domrin
Complex analysis and mathematical physics November 12, 2019 16:00
26.
О глобальной мероморфности решений уравнений Пенлеве и их иерархий A. V. Domrin
International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics" September 16, 2019 14:00
27.
Analytic continuation of solutions of linear PDEs and the uniqueness theorem for sigma-functions in two variables A. V. Domrin
Seminar "Complex analysis in several variables" (Vitushkin Seminar) February 13, 2019 16:45
28.
On solubility of characteristic Cauchy problems A. V. Domrin
Complex analysis and mathematical physics October 17, 2017 16:00
29.
On Gevrey classes of scattering data A. V. Domrin
Seminar on analytic theory of differential equations April 19, 2017 14:00
30.
Wiman–Valiron theory and entire solutions of differential equations A. V. Domrin
Seminar "Complex analysis in several variables" (Vitushkin Seminar) March 1, 2017 16:45
31.
On the dimension of spaces of solutions of the non-commutative unitary sigma-model. Part 2 A. V. Domrin
Complex analysis and mathematical physics February 28, 2017 16:00
32.
Survey of recent results on the topology of the set of $\mathbb{RC}$ -singular points of a real submanifold in a complex manifold A. V. Domrin
Seminar "Complex analysis in several variables" (Vitushkin Seminar) October 5, 2016 16:45
33.
On the dimension of spaces of solutions of the noncommutative
unitary sigma-model A. V. Domrin
Complex analysis and mathematical physics December 8, 2015 16:00
34.
Noncommutative unitary sigma-model: spaces of solutions with uniton number 2 A. V. Domrin
Seminar "Complex analysis in several variables" (Vitushkin Seminar) April 22, 2015 16:45
35.
Szegő theorem and tau functions A. V. Domrin
Seminar on Complex Analysis (Gonchar Seminar) April 13, 2015 18:00
36.
What is a tau-function? Part 2 A. V. Domrin
Seminar "Complex analysis in several variables" (Vitushkin Seminar) October 29, 2014 16:45
37.
What is a tau-function? A. V. Domrin
Seminar "Complex analysis in several variables" (Vitushkin Seminar) September 24, 2014 16:45
38.
Комплексный анализ. Лекция 5 A. V. Domrin
April 29, 2014
39.
Комплексный анализ. Лекция 4 A. V. Domrin
April 22, 2014
40.
Комплексный анализ. Лекция 3 A. V. Domrin
April 15, 2014
41.
Комплексный анализ. Лекция 2 A. V. Domrin
April 8, 2014
42.
Комплексный анализ. Лекция 1 A. V. Domrin
April 1, 2014
43.
Envelopes of meromorphy of solutions of differential equations A. V. Domrin
Seminar "Complex analysis in several variables" (Vitushkin Seminar) November 20, 2013 16:45
44.
Riemann problem with unitary symmetry condition and its applications (continuation) A. V. Domrin
Complex analysis and mathematical physics October 15, 2012 16:00
45.
Riemann problem with unitary symmetry condition and its applications A. V. Domrin
Complex analysis and mathematical physics October 1, 2012 16:00
46.
Open questions about holomorphic solutions of soliton equations A. V. Domrin
Seminar "Complex analysis in several variables" (Vitushkin Seminar) September 19, 2012 16:45
47.
Holomorphic solutions of soliton equations A. V. Domrin
Seminar on Complex Analysis (Gonchar Seminar) May 21, 2012 18:00
48.
On Gelfand–Dickey and Drinfeld–Sokolov hierarchies A. V. Domrin
Seminar "Complex analysis in several variables" (Vitushkin Seminar) April 11, 2012 16:45
49.
Local holomorphic solutions of soliton equations Andrey Domrin
Russian–German conference on Several Complex Variables February 29, 2012 11:30
50.
Локальная голоморфная задача Коши для нелинейных солитонных уравнений A. V. Domrin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS March 6, 2008 11:00
Organisations