Vladimir Bogachev
- Professor:Faculty of Mathematics
- Vladimir Bogachev has been at HSE University since 2009.
Education, Degrees and Academic Titles
- 2000Professor
- 1991
Doctor of Sciences*
- 1983
Degree
Lomonosov Moscow State University
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
Courses (2022/2023)
- Calculus (Bachelor’s programme; Faculty of Physics; 2 year, 1, 2 module)Rus
Measure and Integral (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 2 year, 1, 2 module)Rus
- Past Courses
Courses (2021/2022)
Calculus (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 1 year, 1-4 module)Rus
Courses (2020/2021)
- Calculus (Bachelor’s programme; Faculty of Physics; 2 year, 1, 2 module)Rus
Calculus (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 2 year, 1-4 module)Rus
- Mathematics. Licenciatus (Bachelor’s programme; Faculty of Mathematics; 4 year, 1 module)Rus
Courses (2019/2020)
- Calculus (Bachelor’s programme; Faculty of Physics; 2 year, 1, 2 module)Rus
- Introduction to Probability Theory (Bachelor’s programme; Faculty of Mathematics; 3 year, 1, 2 module)Rus
Courses (2018/2019)
- Calculus (Bachelor’s programme; Faculty of Physics; 1 year, 1-4 module)Rus
- Introduction to Probability Theory (Bachelor’s programme; Faculty of Mathematics; 3 year, 1, 2 module)Rus
Courses (2017/2018)
- Calculus (Bachelor’s programme; Faculty of Physics; 1 year, 1-4 module)Rus
- Differential Equations (Bachelor’s programme; Faculty of Physics; 1 year, 3, 4 module)Rus
Editorial board membership
2021: Member of the Editorial Board, Moscow Mathematical Journal.
2021: Member of the Editorial Board, Известия Российской академии наук. Серия математическая (Izvestiya: Mathematics).
2021: Member of the Editorial Board, Теория вероятностей и ее применения (Theory of Probability and Its Applications).
2019: Member of the Editorial Board, Функциональный анализ и его приложения Functional Analysis and Its Applications (Functional Analysis and Its Applications).
2018: Member of the Editorial Council, Известия Иркутского государственного университета. Серия: Математика.
2016: Member of the Editorial Board, Analysis Mathematica.
2014: Member of the Editorial Board, European Journal of Mathematics.
2014: Member of the Editorial Board, Theory of Stochastic Processes.
1998: Member of the Editorial Board, Infinite Dimensional Analysis, Quantum Probability and Related Topics.
Conferences
- 2019Конференция, посвященная 150-летию со дня рождения Д.Ф.Егорова и С.А.Чаплыгина (Москва). Presentation: Дмитрий Фёдорович Егоров и развитие теории функций в Московском университете
- IRTG summer school on probability theory and stochastic dynamics (Билефельд). Presentation: Ornstein-Uhlenbeck operators and semigroups
- Общеинститутский семинар «Математика и ее приложения» Математического института им. В.А. Стеклова РАН (Москва). Presentation: Уравнения Фоккера – Планка – Колмогорова: основные достижения и открытые проблемы
- 2018Научная конференция «Бесконечномерный анализ и теория управления», посвященная 100-летию со дня рождения выдающегося российского математика С.В.Фомина (Москва). Presentation: «Дробная дифференцируемость мер по Фомину» («Fractional Fomin’s differentiability of measures»)
- XLII Летний симпозиум по действительному анализу (Санкт-Петербург). Presentation: Distributions of polynomials in many variables and Nikolskii-Besov spaces
- Семинар «Спектральная теория дифференциальных операторов» (Москва). Presentation: Стационарные уравнения Колмогорова и связанные с ними полугруппы
- 2017Международная конференция по математической теории управления и механике (Суздаль). Presentation: Некоторые результаты о единственности решений эллиптических уравнений, связанные с исследованиями Василия Васильевича Жикова (Пленарный)
- The 39-th Conference on Stochastic processes and their applications (Москва). Presentation: Distributions of polynomials in Gaussian random variables: recent progress and open problems (Пленарный)
- 2016Семинар "Глобус" (Москва). Presentation: Задачи Монжа и Канторовича, пространства мер и тройки Громова
20224
- Article V. I. Bogachev, Röckner M., S. V. Shaposhnikov. Applications of Zvonkin’s transform to stationary Kolmogorov equations / Пер. с рус. // Doklady Mathematics. 2022. Vol. 106. No. 2. P. 318-321. doi
- Article Vladimir I. Bogachev, Ilya I. Malofeev. Nonlinear Kantorovich Problems with a Parameter // Известия Иркутского государственного университета. Серия: Математика. 2022. Vol. 41. P. 96-106. doi
- Article Bogachev V., Popova S., Резбаев А. В. On nonlinear Kantorovich problems with density constraints // Moscow Mathematical Journal. 2022 (in press)
- Article Bogachev V., Shaposhnikov A., Wang F. Sobolev–Kantorovich inequalities under CD(0,∞) condition // Communications in Contemporary Mathematics. 2022. Vol. 24. No. 5. Article 2150027. doi
20216
- Article Bogachev V., Shaposhnikov S. Elliptic equations degenerating at infinity and uniqueness of probability solutions to the Kolmogorov equation // REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES. 2021. Vol. 66. No. 1. P. 67-81.
- Article Bogachev V., Krasovitskiy T., Shaposhnikov S. On Nonuniqueness of Probability Solutions to the Cauchy Problem for the Fokker–Planck–Kolmogorov Equation / Пер. с рус. // Doklady Mathematics. 2021. Vol. 103. No. 3. P. 108-112. doi
- Article Bogachev V., Kosov E., Popova S. On distributions of homogeneous and convex functions in Gaussian random variables / Пер. с рус. // Izvestiya. Mathematics. 2021. Vol. 85. No. 5. P. 852-882. doi
- Article Bogachev V., Röckner M., Shaposhnikov S. On the Ambrosio–Figalli–Trevisan Superposition Principle for Probability Solutions to Fokker–Planck–Kolmogorov Equations // Journal of Dynamics and Differential Equations. 2021. Vol. 33. No. 2. P. 715-739. doi
- Article Bogachev V., Krasovitskiy T., Shaposhnikov S. On uniqueness of probability solutions of the Fokker-Planck-Kolmogorov equation / Пер. с рус. // Sbornik Mathematics. 2021. Vol. 212. No. 6. P. 745-781. doi
- Article V. I. Bogachev, Doledenok A. N., I. I. Malofeev. The Kantorovich Problem with a Parameter and Density Constraints // Mathematical notes. 2021. Vol. 110. No. 5-6. P. 952-955. doi
20207
- Article Bogachev V., Kosov E., Popova S. Densities of Distributions of Homogeneous Functions of Gaussian Random Vectors / Пер. с рус. // Doklady Mathematics. 2020. Vol. 102. No. 3. P. 460-463. doi
- Article Bogachev V., Malofeev I. Kantorovich problems and conditional measures depending on a parameter // Journal of Mathematical Analysis and Applications. 2020. Vol. 486. No. 1 (123883). P. 1-30. doi
- Article Bogachev V. Non-uniform Kozlov-Treschev averagings in the ergodic theorem // Russian Mathematical Surveys. 2020. Vol. 75. No. 3. P. 393-425. doi
- Article Bogachev V. On Skorokhod differentiable measures // Украинский математический журнал . 2020. Vol. 72. No. 9. P. 1159-1178. doi
- Article Bogachev V., Shaposhnikov S. Representations of solutions to Fokker–Planck–Kolmogorov equations with coefficients of low regularity // Journal of Evolution Equations. 2020. Vol. 20. No. 2. P. 355-374. doi
- Article V. I. Bogachev, T. I. Krasovitskii, S. V. Shaposhnikov. The Kolmogorov Problem on Uniqueness of Probability Solutions of a Parabolic Equation / Пер. с рус. // Doklady Mathematics. 2020. Vol. 102. No. 3. P. 464-467. doi
20199
- Article Bogachev V., Kosov E., Popova S. A new approach to Nikolskii-Besov classes // Moscow Mathematical Journal. 2019. Vol. 19. No. 4. P. 619-654. doi
- Article Bogachev V., Roeckner M., Shaposhnikov S. Convergence in variation of solutions of nonlinear Fokker-Planck-Kolmogorov equations to stationary measures. // Journal of Functional Analysis. 2019. Vol. 276. No. 12. P. 3681-3713. doi
- Article Bogachev V., Miftakhov A., Shaposhnikov S. Differential properties of semigroups and estimates of distances between stationary distributions of diffusions / Пер. с рус. // Doklady Mathematics. 2019. Vol. 99. No. 2. P. 175-180. doi
- Article Bogachev V. Distributions of polynomials in many variables and Nikolskii-Besov spaces // Real Analysis Exchange. 2019. Vol. 44. No. 1. P. 49-64. doi
- Article Bogachev V., Shaposhnikov A., Shaposhnikov S. Log-Sobolev-type inequalities for solutions to stationary Fokker-Planck-Kolmogorov equations. // Calculus of Variations and Partial Differential Equations. 2019. Vol. 58. No. 5(176). P. 1-16. doi
- Article Bogachev V., Popova S., Shaposhnikov S. On Sobolev regularity of solutions to Fokker-Planck-Kolmogorov equations with drifts in L^1 // Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni. 2019. Vol. 30. No. 1. P. 205-221. doi
- Article Bogachev V., Roeckner M., Shaposhnikov S. On convergence to stationary distributions for solutions to nonlinear Fokker-Planck-Kolmogorov equations. // Journal of Mathematical Sciences. 2019. Vol. 242. No. 1. P. 69-84. doi
- Article Bogachev V., Malofeev I. On the Kantorovich problem with a parameter. / Пер. с рус. // Doklady Mathematics. 2019. Vol. 100. No. 1. P. 349-353. doi
- Article Bogachev V., Roeckner M., Shaposhnikov S. On the superposition principle for Fokker-Planck-Kolmogorov equations / Пер. с рус. // Doklady Mathematics. 2019. Vol. 100. No. 1. P. 363-366. doi
20188
- Article Bogachev V., Roeckner M., Shaposhnikov S. Convergence to stationary measures in nonlinear Fokker-Planck-Kolmogorov equations / Пер. с рус. // Doklady Mathematics. 2018. Vol. 98. No. 2. P. 452-457. doi
- Article Bogachev V., Shaposhnikov A., Shaposhnikov S. Estimates for solutions to Fokker-Planck-Kolmogorov equations with integrable drifts / Пер. с рус. // Doklady Mathematics. 2018. Vol. 98. No. 3. P. 559-563. doi
- Article Bogachev V., Kosov E., Zelenov G. Fractional smoothness of distributions of polynomials and a fractional analog of the Hardy-Landau-Littlewood inequality // Transactions of the American Mathematical Society. 2018. Vol. 370. No. 6. P. 4401-4432. doi
- Article Bogachev V. Negligible sets in infinite-dimensional spaces // Analysis Mathematica. 2018. Vol. 44. No. 3. P. 299-323. doi
- Article V. I. Bogachev, T. I. Krasovitskii, S. V. Shaposhnikov. On Non-Uniqueness of Probability Solutions to the Two-Dimensional Stationary Fokker–Planck–Kolmogorov Equation / Пер. с рус. // Doklady Mathematics. 2018. Vol. 98. No. 2. P. 475-479. doi
- Article Bogachev V., Popova S., Shaposhnikov S. On Sobolev classes containing solutions to Fokker-Planck-Kolmogorov equations / Пер. с рус. // Doklady Mathematics. 2018. Vol. 98. No. 2. P. 498-501. doi
- Article Bogachev V. Ornstein–Uhlenbeck operators and semigroups // Russian Mathematical Surveys. 2018. Vol. 73. No. 2. P. 191-260. doi
- Article Bogachev V., Roeckner M., Shaposhnikov S. The Poisson equation and estimates for distances between stationary distributions of diffusions. // Journal of Mathematical Sciences. 2018. Vol. 232. No. 3. P. 254-282. doi
20177
- Article Bogachev V., Kosov E., Popova S. A characterization of Nikolskii–Besov classes via integration by parts / Пер. с рус. // Doklady Mathematics. 2017. Vol. 96. No. 2. P. 449-453. doi
- Article Bogachev V., Shaposhnikov S. Integrability and continuity of solutions to Fokker–Planck–Kolmogorov equations / Пер. с рус. // Doklady Mathematics. 2017. Vol. 96. No. 3. P. 583-586. doi
- Article Bogachev V., Shaposhnikov S. Integrability and continuity of solutions to double divergence form equations // Annali di Matematica Pura ed Applicata. 2017. Vol. 196. No. 5. P. 1609-1635. doi
- Article Bogachev V., Kosov E., Popova S. On Gaussian Nikolskii-Besov classes / Пер. с рус. // Doklady Mathematics. 2017. Vol. 96. No. 2. P. 498-502. doi
- Chapter Богачев В. И. Surface measures in infinite-dimensional spaces // В кн.: Measure Theory in Non-Smooth Spaces. De Gruyter, 2017. С. 52-97.
- Book Bogachev V., Smolyanov O. Topological vector spaces and their applications. Cham : Springer, 2017. doi
- Article Bogachev V., Doledenok A. N., Shaposhnikov S. Weighted Zolotarev metrics and the Kantorovich metric / Пер. с рус. // Doklady Mathematics. 2017. Vol. 95. No. 2. P. 113-117. doi
201610
- Article Bogachev V., Shaposhnikov S., Veretennikov A. Differentiability of solutions of stationary Fokker-Planck-Kolmogorov equations with respect to a parameter // Discrete and Continuous Dynamical Systems. 2016. Vol. 36. No. 7. P. 3519 -3543. doi
- Article Bogachev V., Röckner M., Shaposhnikov S. Distances between transition probabilities of diffusions and applications to nonlinear Fokker–Planck–Kolmogorov equations // Journal of Functional Analysis. 2016. Vol. 271. P. 1262-1300. doi
- Article Bogachev V. Distributions of polynomials on multidimensional and infinite-dimensional spaces with measures // Russian Mathematical Surveys. 2016. Vol. 71. No. 4. P. 703-749. doi
- Article Bogachev V., Röckner M., Shaposhnikov S. Estimates of distances between transition probabilities of diffusions / Пер. с рус. // Doklady Mathematics. 2016. Vol. 93. No. 2. P. 135-139. doi
- Article Bogachev V., Shaposhnikov S. Integrability and continuity of densities of stationary distributions of diffusions / Пер. с рус. // Doklady Mathematics. 2016. Vol. 94. No. 1. P. 355-360. doi
- Article Bogachev V., Wang F., Shaposhnikov A. On inequalities relating the Sobolev and Kantorovich norms // Doklady Mathematics. 2016. Vol. 93. No. 3. P. 256-258. doi
- Article Bogachev V., Miftakhov A. F. On weak convergence of finite-dimensional and infinite-dimensional distributions of random processes // Theory of Stochastic Processes. 2016. Vol. 21(37). No. 1. P. 1-11.
- Article Bogachev V., Pilipenko A. Strong solutions to stochastic equations with a Lévy noise and a non-constant diffusion coefficient // Doklady Mathematics. 2016. Vol. 94. No. 1. P. 438-440. doi
- Article Bogachev V., Malofeev I. Surface measures generated by differentiable measures // Potential analysis. 2016. Vol. 44. No. 4. P. 767-792. doi
- Article Богачев В. И. Распределения многочленов на многомерных и бесконечномерных пространствах с мерами // Успехи математических наук. 2016. Т. 71. № 4. С. 107-154. doi
20153
- Article Bogachev V., Da Prato G., Roeckner M., Shaposhnikov S. An analytic approach to infinite-dimensional continuity and Fokker-Planck-Kolmogorov equations // Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. 2015. Vol. 14. P. 983-1023. doi
- Article Bogachev V., Da Prato G., Roeckner M., Shaposhnikov S. On the uniqueness of solutions to continuity equations. // Journal of Differential Equations. 2015. Vol. 259. No. 8. P. 3854-3873. doi
- Article Bogachev V., Roeckner M., Shaposhnikov S. Uniqueness problems for degenerate Fokker-Planck-Kolmogorov equations // Journal of Mathematical Sciences. 2015. Vol. 207. No. 2. P. 147-165. doi
20142
- Article Shaposhnikov S., Bogachev V., Roeckner M. On parabolic inequalities for generators of diffusions with jumps // Probability Theory and Related Fields. 2014. Vol. 158. P. 465-476.
- Article Bogachev V., Pilipenko A. Y., Shaposhnikov A. Sobolev functions on infinite-dimensional domains // Journal of Mathematical Analysis and Applications. 2014. Vol. 419. No. 2. P. 1023-1044. doi
20134
- Article Bogachev V., Roeckner M., Shaposhnikov S. On uniqueness of solutions to the Cauchy problem for degenerate Fokker-Planck-Kolmogorov equations // Journal of Evolution Equations. 2013. Vol. 13. No. 3. P. 577-593.
- Article Roeckner M., Shaposhnikov S., Bogachev V. On uniqueness of solutions to the cauchy problem for degenerate Fokker-Planck-Kolmogorov equations // Journal of Evolution Equations. 2013. Vol. 13. No. 3. P. 577-593.
- Article Bogachev V., Kolesnikov A. Sobolev regularity for the Monge-Ampere equation in the Wiener space. // Kyoto Journal of Mathematics. 2013. Vol. 53. No. 4. P. 713-738.
- Book Богачев В. И., Крылов Н., Рёкнер М., Шапошников С. Уравнения Фоккера - Планка - Колмогорова. М., Ижевск : НИЦ Регулярная и хаотическая динамика, 2013.
20122
- Article Богачев В. И., Колесников А. Задача Монжа - Канторовича: достижения, связи и перспективы. // Успехи математических наук. 2012. Т. 67. № 5. С. 3-110.
- Book Богачев В. И., Смолянов О. Топологические векторные пространства и их приложения. М., Ижевск : НИЦ Регулярная и хаотическая динамика, 2012.
20116
- Article Roeckner M., Shaposhnikov S., Bogachev V. On uniqueness problems related to elliptic equations for measures // Journal of Mathematical Sciences. 2011. Vol. 176. No. 6. P. 759-773.
- Article Shaposhnikov S., Bogachev V., Roeckner M. On uniqueness problems related to the Fokker-Planck-Kolmogorov equations for measures // Journal of Mathematical Sciences. 2011. Vol. 179. No. 1. P. 1-41.
- Preprint Bogachev V., Kolesnikov A. Sobolev regularity for the Monge-Ampere equation in the Wiener space / Cornell University. Series math "arxiv.org". 2011. No. 1110.1822..
- Article Bogachev V., Da Prato G., Roeckner M. Uniqueness for solutions of Fokker-Planck equations on infinite dimensional spaces // Communications in Partial Differential Equations. 2011. Vol. 36. P. 925-939.
- Book Богачев В. И., Смолянов О. Действительный и функциональный анализ: университетский курс / Изд. 2-е, испр. и доп.. М., Ижевск : НИЦ Регулярная и хаотическая динамика, 2011.
20101
20091
20056
- Article Bogachev V., Kolesnikov A. On the Monge-Ampere equation in infinite dimensions. // Infinite Dimensional Analysis, Quantum Probability and Related Topics. 2005. No. 8(4). P. 1-26.
- Article Колесников А. В., Богачев В. И. Интегрируемость абсолютно непрерывных преобразований мер и применения к оптимальному переносу масс. // Теория вероятностей и ее применения. 2005. № 50(3)
- Article Колесников А. В., Богачев В. И. К истокам теории A-множеств: замечания в связи с переводом работы Хаусдорфа. // Историко-математические исследования. 2005. № 2(10)
- Article Богачев В. И., Колесников А. В. Нелинейные преобразования выпуклых мер // Теория вероятностей и ее применения. 2005. № 50(1). С. 27-51.
- Article Богачев В. И., Колесников А. В., Медведев К. В. Треугольные преобразования мер // Математический сборник. 2005. Т. 196. № 3. С. 3-30.
- Article Богачев В. И., Медведев К. В., Колесников А. В. Треугольные преобразования мер. // Математический сборник. 2005. № 196(3). С. 3-30.
20041
20012
- Article Bogachev V., Banakh T., Kolesnikov A. Topological spaces with the strong Skorokhod property. // Georgian Mathematical Journal. 2001. No. 8(2). P. 201-202.
- Article Колесников А. В., Богачев В. И. Открытые отображения вероятностных мер и теорема представления Скорохода. // Теория вероятностей и ее применения. 2001. № 46(1). С. 3-27.
Member of Editorial Board
``Infinite Dimensional Analyses, Quantum Probability and Related Topics"
``European Journal of Mathematics''
HSE University Staff Members Elected to the Russian Academy of Sciences
The results of the vote were announced at the General Assembly of the Russian Academy of Sciences (RAS), which took place from June 1-3. The newly elected Members and Corresponding Members of the RAS include eight scholars from HSE University.
The talk at the seminar of Moscow State University
Ivan Remizov made a talk at the seminar of the Faculty of Mechanics and Mathematics