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.
Student Term / Thesis Papers
- Bachelor
L. Novikov, Descriptive Properties of Spaces of Measures. Faculty of Mathematics, 2018
- Master
N. Zakharov, Topological Aspects of the Monge and Kantorovich Problems. Faculty of Mathematics, 2020
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
- Past Courses
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
Courses (2016/2017)
- Functional Analysis 1 (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Introduction to Infinite-Dimensional Analysis " (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
Courses (2015/2016)
- Calculus (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Functional Analysis 1 (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Mathematics. Licenciatus (Bachelor’s programme; Faculty of Mathematics; 3 year, 4 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Research Seminar " Introduction to Infinite-Dimensional Analysis and Stochastics 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Introduction to Infinite-Dimensional Analysis and Stochastics 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
Editorial board membership
2021: Member of the Editorial Board, Известия Российской академии наук. Серия математическая (Izvestiya: Mathematics).
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.
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
20206
- 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
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 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., Krasovitskii T., Shaposhnikov S. 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. 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. N. 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. 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''
The talk at the seminar of Moscow State University
Ivan Remizov made a talk at the seminar of the Faculty of Mechanics and Mathematics