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Volkov, Boris Olegovich
Total publications: 24 (24)
in MathSciNet: 16 (16)
in zbMATH: 7 (7)
in Web of Science: 16 (16)
in Scopus: 15 (15)
Cited articles: 17
Citations: 93
Presentations: 76

Number of views:
This page:13141
Abstract pages:3842
Full texts:634
References:481
Candidate of physico-mathematical sciences (2014)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail: ,

https://www.mathnet.ru/eng/person94935
https://scholar.google.com/citations?user=4oAsZmEAAAAJ&hl=en
https://zbmath.org/authors/ai:volkov.boris-o
https://mathscinet.ams.org/mathscinet/MRAuthorID/1026503
https://elibrary.ru/author_items.asp?spin=6676-7412
https://orcid.org/0000-0002-6430-9125
https://www.webofscience.com/wos/author/record/Q-4605-2016
https://www.scopus.com/authid/detail.url?authorId=55633580300
https://www.researchgate.net/profile/Boris_Volkov4
https://arxiv.org/a/volkov_b_1

List of publications:
| scientific publications | by years | by types | by times cited | common list |


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

   2024
1. A. N. Pechen, V. N. Petruhanov, O. V. Morzhin, B. O. Volkov, “Control landscapes for high-fidelity generation of C-NOT and C-PHASE gates with coherent and environmental driving”, Eur. Phys. J. Plus, 139 (2024), 411 , 21 pp., arXiv: 2405.14069  mathnet  crossref  isi;

   2023
2. B. O. Volkov, A. N. Pechen, “Higher-order traps for some strongly degenerate quantum control systems”, Russian Math. Surveys, 78:2 (2023), 390–392  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
3. B. O. Volkov, A. N. Pechen, “On the detailed structure of quantum control landscape for fast single qubit phase-shift gate generation”, Izv. Math., 87:5 (2023), 906–919 , arXiv: 2204.13671  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
4. Boris O. Volkov, “Lévy Laplacians, Holonomy Group and Instantons on 4-Manifolds”, Potential Anal., 59 (2023), 1381–1397 , arXiv: 2107.11215  mathnet  crossref  mathscinet  scopus; 1
5. B. O. Volkov, A. N. Pechen, “Higher order traps in quantum control landscapes”, Russian Microelectronics, 52:1 (2023), S428–S431  crossref

   2022
6. B. O. Volkov, “Modified Lévy Laplacian on manifold and Yang–Mills instantons”, Int. J. Mod. Phys. A, 37:20-21 (2022), 2243022 , 15 pp., arXiv: 2205.14351  mathnet  crossref  mathscinet

   2021
7. B. O. Volkov, O. V. Morzhin, A. N. Pechen, “Quantum control landscape for ultrafast generation of single-qubit phase shift quantum gates”, J. Phys. A: Math. Theor., 54:21 (2021), 215303 , 23 pp., arXiv: 2104.12699  mathnet  crossref  adsnasa  isi  scopus; 19

   2020
8. Boris O. Volkov, “Lévy Laplacians and instantons on manifolds”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 23:2 (2020), 2050008 , 20 pp., arXiv: 1909.13312  mathnet  crossref  mathscinet  isi  scopus 3
9. M. O. Katanaev, B. O. Volkov, “Point disclinations in the Chern–Simons geometric theory of defects”, Mod. Phys. Lett. B, 34 (2020), 2150012 , 14 pp., arXiv: 1908.08473  mathnet  crossref  mathscinet  adsnasa  isi  scopus 5

   2019
10. Boris O. Volkov, “Levy Differential Operators and Gauge Invariant Equations for Dirac and Higgs Fields”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 22 (2019), 1950001 , 20 pp., arXiv: 1612.00310  crossref  mathscinet  zmath  isi  scopus 3
11. B. O. Volkov, “Levy Laplacian on manifold and Yang–Mills heat flow”, Lobachevskii J. Math., 40:10 (2019), 1619–1630 , arXiv: 1905.01223  mathnet  crossref  mathscinet  zmath  isi  scopus 5

   2018
12. B. O. Volkov, “Lévy Laplacians in Hida Calculus and Malliavin Calculus”, Proc. Steklov Inst. Math., 301 (2018), 11–24 , arXiv: 1709.09221  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

   2021
13. B. O. Volkov, “Applications of Lévy Differential Operators in the Theory of Gauge Fields”, Journal of Mathematical Sciences, 252:1 (2021), 20–35  mathnet  crossref  mathscinet  scopus

   2018
14. B. O. Volkov, “Lévy Laplacians and annihilation process”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 160, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2018, 399–409  mathnet  mathscinet  isi 1

   2017
15. Boris O. Volkov, “Stochastic Lévy differential operators and Yang–Mills equations”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 20:2 (2017), 1750008 , 23 pp., arXiv: 1605.06024  mathnet  crossref  mathscinet  mathscinet  isi  scopus 9
16. B. O. Volkov, Mat. Mat. Model., 2017, no. 2, 1–24  mathnet  crossref  mathscinet  elib

   2016
17. B. O. Volkov, “Laplasian Levi na chetyrekhmernom rimanovom mnogoobrazii”, Matematika i matematicheskoe modelirovanie, 2016, no. 6, 1–14  crossref  elib

   2015
18. B. O. Volkov, “Stochastic Levy Laplacian and d'Alambertian and Maxwell's equations”, Mat. Mat. Model., 2015, no. 6, 1–16  mathnet  crossref  elib
19. B. O. Volkov, “Lévy Laplacians and Instantons”, Proc. Steklov Inst. Math., 290 (2015), 210–222  mathnet  crossref  crossref  isi  elib  elib  scopus
20. B. O. Volkov, “Lévy d'Alambertians and their application in the quantum theory”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 19:2 (2015), 241–258  mathnet  crossref  zmath  isi  rsci  elib
21. B. O. Volkov, “Stochastic Levy divergence and Maxwell's equations”, Mat. Mat. Model., 2015, no. 5, 1–16  mathnet  crossref  elib

   2013
22. B. O. Volkov, “Quantum Probability and Levy Laplacians”, Russian Journal of Mathematical Physics, 20:2 (2013), 254-256  crossref  mathscinet  zmath  adsnasa  isi  scopus 4
23. B. O. Volkov, “Hierarchy of Levy-Laplacians and Quantum Stochastic Processes”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 16:4 (2013), 1350027 , 20 pp.  crossref  mathscinet  isi  scopus 5

   2012
24. B. O. Volkov, “Levy-Laplacian and the Gauge Fields”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 15:4 (2012), 1250027 , 19 pp.  crossref  mathscinet  zmath  isi  scopus 8

Presentations in Math-Net.Ru
1. Свойства ландшафтов задач квантового управления
B. O. Volkov

December 12, 2024 18:30
2. Квантовый ландшафт задачи максимизации среднего наблюдаемой
B. O. Volkov
Mathematics in Quantum Technologies — 2024
December 10, 2024 12:30
3. Lecture 12. Control of Quantum Systems
A. N. Pechen, B. O. Volkov, O. V. Morzhin
Control of Quantum Systems
December 2, 2024 13:10   
4. Lecture 11. Control of Quantum Systems
A. N. Pechen, B. O. Volkov, O. V. Morzhin
Control of Quantum Systems
November 25, 2024 13:10   
5. Ландшафты оптимизации квантовых вентилей и наблюдаемых
A. N. Pechen, V. N. Petruhanov, O. V. Morzhin, B. O. Volkov
Annual Session of Steklov Mathematical Institute (Best results 2024)
November 20, 2024 18:10   
6. Lecture 10. Control of Quantum Systems
A. N. Pechen, B. O. Volkov, O. V. Morzhin
Control of Quantum Systems
November 18, 2024 10:00
7. Lecture 9. Control of Quantum Systems
A. N. Pechen, B. O. Volkov, O. V. Morzhin
Control of Quantum Systems
November 11, 2024 13:10   
8. Lecture 8. Control of Quantum Systems
A. N. Pechen, B. O. Volkov, O. V. Morzhin
Control of Quantum Systems
October 28, 2024 13:10   
9. Lecture 7. Control of Quantum Systems
A. N. Pechen, B. O. Volkov, O. V. Morzhin
Control of Quantum Systems
October 21, 2024 13:10   
10. Lecture 6. Control of Quantum Systems
A. N. Pechen, B. O. Volkov, O. V. Morzhin
Control of Quantum Systems
October 14, 2024 13:10   
11. Управляемость замкнутых квантовых систем
B. O. Volkov
Seminar by V. V. Kozlov, S. V. Kozyrev, A. S. Trushechkin and I. V. Volovich "Quantum mathematical physics"
October 9, 2024 18:00
12. Lecture 5. Control of Quantum Systems
A. N. Pechen, B. O. Volkov, O. V. Morzhin
Control of Quantum Systems
October 7, 2024 13:10   
13. Lecture 4. Control of Quantum Systems
A. N. Pechen, B. O. Volkov, O. V. Morzhin
Control of Quantum Systems
September 30, 2024 13:10   
14. Lecture 3. Control of Quantum Systems
A. N. Pechen, B. O. Volkov, O. V. Morzhin
Control of Quantum Systems
September 23, 2024 13:10   
15. Lecture 2. Control of Quantum Systems
A. N. Pechen, B. O. Volkov, O. V. Morzhin
Control of Quantum Systems
September 16, 2024 13:10   
16. Lecture 1. Control of Quantum Systems
A. N. Pechen, B. O. Volkov, O. V. Morzhin
Control of Quantum Systems
September 9, 2024 13:10   
17. Анализ ландшафтов квантового управления для трехуровневых систем типа лямбда-атома с использованием метода GRAPE
A. A. Myachkova, B. O. Volkov, A. N. Pechen
International conference “Theory of Functions, Operator Theory and Quantum Information Theory”
June 10, 2024 15:25   
18. Свойства ландшафтов задач квантового управления
B. O. Volkov
International conference “Theory of Functions, Operator Theory and Quantum Information Theory”
June 9, 2024 14:00   
19. Бесконечномерные дифференциальные операторы и поля Янга-Миллса
B. O. Volkov

May 23, 2024 14:05   
20. Lecture 13. Control of Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
December 4, 2023 13:10   
21. Lecture 12. Control of Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
November 27, 2023 13:10   
22. Lecture 11. Control of Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
November 20, 2023 13:10   
23. Lecture 10. Control of Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
November 13, 2023 13:10   
24. Lecture 9. Control of Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
October 30, 2023 13:10   
25. Lecture 8. Control of Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
October 23, 2023 13:10   
26. Lecture 7. Control of Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
October 16, 2023 13:10   
27. Lecture 6. Control of Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
October 9, 2023 13:10   
28. Lecture 5. Control of Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
October 2, 2023 13:10   
29. Lecture 4. Control of Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
September 25, 2023 13:10   
30. Lecture 3. Control of Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
September 18, 2023 13:10   
31. Lecture 2. Control of Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
September 11, 2023 13:10   
32. Lecture 1. Control of Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
September 4, 2023 13:10   
33. Higher order traps in quantum control landscapes
B. O. Volkov
III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov
July 12, 2023 12:00   
34. Higher order traps in quantum control landscapes
B. O. Volkov
International Conference "Theory of Functions, Operator Theory and Quantum Information Theory"
June 1, 2023 16:15   
35. Higher order traps in quantum control landscapes
B. O. Volkov
One-Parameter Semigroups of Operators (OPSO 2023)
February 28, 2023 13:50   
36. Lecture 12. Coherent and Incoherent Controls of Open Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
December 13, 2022 13:10   
37. Higher-order traps in quantum control problems
B. O. Volkov
Mathematics in Quantum Technologies — 2022
December 5, 2022 15:30
38. Lection 11. Krotov Method in Optimal Control of Closed Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
November 29, 2022 13:10   
39. Lecture 10. Gradient Methods in Optimal Control of Closed Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
November 22, 2022 13:10   
40. Lecture 9. Pontryagin Maximum Principle for Closed Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
November 15, 2022 13:10   
41. Higher order traps in quantum control landscapes
B. O. Volkov
International Conference "New Trends in Mathematical Physics"
November 9, 2022 15:30   
42. Lecture 8. Landscapes of Quantum Control Problems. IV
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
November 1, 2022 13:10   
43. Lecture 7. Landscapes of Quantum Control Problems. III
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
October 25, 2022 13:10   
44. Levy Laplacians and Young-Mills equation
B. O. Volkov
International Conference "Functions Theory, Operators Theory and Quantum Information Theory"
October 19, 2022 16:05   
45. Lecture 6. Landscapes of Quantum Control Problems. II
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
October 18, 2022 13:10   
46. Lecture 5. Landscapes of Quantum Control Problems. I
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
October 11, 2022 13:10   
47. Lecture 4. Notions and Conditions on Controllability for Closed Quantum Systems. II
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
October 4, 2022 13:10   
48. Lecture 3. Notions and Conditions on Controllability for Closed Quantum Systems. I
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
September 27, 2022 13:10   
49. Higher order traps in quantum control landscapes
B. O. Volkov
Seminar by V. V. Kozlov, S. V. Kozyrev, A. S. Trushechkin and I. V. Volovich "Quantum mathematical physics"
September 21, 2022 18:00
50. Lecture 2. Formulating Optimal Control Problems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
September 20, 2022 13:10   
51. Lecture 1. Introduction to Control of Quantum Systems
A. N. Pechen, O. V. Morzhin, B. O. Volkov
Control of Quantum Systems
September 13, 2022 13:10   
52. Higher order traps in quantum control landscapes
B. O. Volkov
International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko
June 8, 2022 18:30   
53. Traps in quantum control landscapes
B. O. Volkov
One-Parameter Semigroups of Operators (OPSO) 2022
February 15, 2022 17:10   
54. Traps in quantum control landscapes
B. O. Volkov
Seminar by V. V. Kozlov, S. V. Kozyrev, A. S. Trushechkin and I. V. Volovich "Quantum mathematical physics"
December 22, 2021 18:45
55. The landscape of a quantum control problem for the generation of quantum gates of the phase shift type
B. O. Volkov
International Youth Workshop "Mathematical Methods in the Problems of Quantum Technologies"
December 7, 2021 15:30   
56. Лапласианы Леви и поля Янга-Миллса
B. O. Volkov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
December 2, 2021 11:00   
57. Traps in quantum control landscapes
B. O. Volkov, A. N. Pechen
Function Theory, Operator Theory and Quantum Information Theory
October 5, 2021 15:30   
58. Essentially infinite-dimensional differential operators and Yang-Mills fields
B. O. Volkov
International Conference "Selected Topics in Mathematical Physics" Dedicated to 75-th Anniversary of I. V. Volovich
September 29, 2021 16:40   
59. Quantum control landscape for generation of phase shift quantum gates
B. O. Volkov
International Conference on Algebra, Analysis and Geometry - 2021
August 24, 2021 16:50   
60. Quantum control landscape for phase shift quantum gates
B. O. Volkov, O. V. Morzhin, A. N. Pechen
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 3, 2021 15:35   
61. Лапласиан Леви и калибровочные поля
B. O. Volkov

April 29, 2021 17:15
62. Levy Laplacian and gauge fields
B. O. Volkov
One-Parameter Semigroups of Operators (OPSO) 2021
April 7, 2021 15:00   
63. Levy Laplacians, holonomy group and instantons on 4-manifolds
Boris Volkov
Workshop "New Trends in Mathematical Physics"
December 9, 2020 17:00   
64. Levy Laplacians and instantons on manifold
B. O. Volkov
Complex analysis and mathematical physics
October 12, 2020 16:00
65. Уравнения Лапласа для лапласианов Леви и инстантоны
B. O. Volkov
Infinite dimensional analysis and mathematical physics
September 21, 2020 18:30
66. Уравнения Лапласа для лапласианов Леви и инстантоны
B. O. Volkov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
June 25, 2020 11:00   
67. Лапласиан Леви и инстантоны на многообразии
B. O. Volkov
Infinite dimensional analysis and mathematical physics
November 26, 2018 18:30
68. Levy Laplacian and instantons on manifold
B. O. Volkov
Internaional conference «Modern Mathematical Physics. Vladimirov-95»
November 14, 2018 17:10   
69. Levy Laplacians and instantons
B. O. Volkov
Complex analysis and mathematical physics
February 27, 2018 16:00
70. О лапласиане Леви на многообразиях
B. O. Volkov
Infinite dimensional analysis and mathematical physics
September 18, 2017 18:30
71. В-Лапласиан Леви
B. O. Volkov
Infinite dimensional analysis and mathematical physics
February 27, 2017 18:30
72. Дифференциальные операторы Леви и уравнения Янга-Миллса-Хиггса
B. O. Volkov
Infinite dimensional analysis and mathematical physics
September 26, 2016 18:30
73. Дифференциальные операторы и следы
B. O. Volkov
Infinite dimensional analysis and mathematical physics
March 14, 2016 18:30
74. Стохастические дифференциальные операторы Леви и уравнения Янга-Милса
B. O. Volkov
Infinite dimensional analysis and mathematical physics
September 7, 2015 18:30
75. Лапласианы Леви и связанные с ними конструкции
B. O. Volkov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
April 17, 2014 11:00
76. Доклады международной научной конференции "Ломоносов"
A. V. Durjagin, V. A. Dubravina, B. O. Volkov, M. S. Buzinov, M. O. Buratskiy, A. A. Kalinichenko
Infinite dimensional analysis and mathematical physics
April 7, 2014 18:30

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