RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 
Bogachev Vladimir Igorevich

Statistics Math-Net.Ru
Total publications: 34 (29)
Cited articles: 24
Citations in Math-Net.Ru: 327
Presentations: 8

Number of views:
This page:8229
Abstract pages:12593
Full texts:2821
References:725
Professor
Doctor of physico-mathematical sciences (1991)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 14.02.1961
E-mail:
Keywords: Gaussian measure, differentiable measure, elliptic equation for measures, parabolic equation for measures, invariant measure of diffusion, Sobolev space.
UDC: 519.2, 517.9, 517.987, 517.972

Subject:

Measure theory, probability theory, infinite dimensional analysis, stochastic analysis.

   
Main publications:
  1. Bogachev V.I., Gaussian measures, American Mathematical Society, Rhose Island, 1998  mathscinet  zmath
  2. Bogachev V.I., Measure theory, 1, Springer, Berlin, 2007  mathscinet  zmath
  3. Bogachev V.I., Measure theory, 2, Springer, Berlin, 2007  mathscinet
  4. Bogachev V.I., Differentiable measures and the Malliavin calculus, Regular and Chaotic Dynamics, Moscow, 2008
  5. Bogachev V.I., Smolyanov O.G., Real and functional analysis: a university course, Regular and Chaotic Dynamics, Moscow, 2009

http://www.mathnet.ru/eng/person8592
List of publications on Google Scholar
List of publications on ZentralBlatt
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=212251

Publications in Math-Net.Ru
1. Distances between stationary distributions of diffusions and solvability of nonlinear Fokker–Planck–Kolmogorov equations
V. I. Bogachev, A. I. Kirillov, S. V. Shaposhnikov
Teor. Veroyatnost. i Primenen., 62:1 (2017),  16–43
2. Distributions of polynomials on multidimensional and infinite-dimensional spaces with measures
V. I. Bogachev
Uspekhi Mat. Nauk, 71:4(430) (2016),  107–154
3. On weak convergence of finite-dimensional and infinite-dimensional distributions of random processes
V. I. Bogachev, A. F. Miftakhov
Theory Stoch. Process., 21(37):1 (2016),  1–11
4. The Kantorovich and variation distances between invariant measures of diffusions and nonlinear stationary Fokker–Planck–Kolmogorov equations
V. I. Bogachev, A. I. Kirillov, S. V. Shaposhnikov
Mat. Zametki, 96:5 (2014),  855–863
5. Two properties of vectors of quadratic forms of Gaussian random variables
V. I. Bogachev, E. D. Kosov, I. Nourdin, G. Poly
Teor. Veroyatnost. i Primenen., 59:2 (2014),  214–232
6. The Monge–Kantorovich problem: achievements, connections, and perspectives
V. I. Bogachev, A. V. Kolesnikov
Uspekhi Mat. Nauk, 67:5(407) (2012),  3–110
7. О многочленах от гауссовских случайных величин
V. I. Bogachev
Teor. Veroyatnost. i Primenen., 55:3 (2010),  611
8. Lower estimates of densities of solutions of elliptic equations for measures
V. I. Bogachev, M. Röckner, S. V. Shaposhnikov
Dokl. Akad. Nauk, 426:2 (2009),  156–161
9. Elliptic and parabolic equations for measures
V. I. Bogachev, N. V. Krylov, M. Röckner
Uspekhi Mat. Nauk, 64:6(390) (2009),  5–116
10. Positive Densities of Transition Probabilities of Diffusion Processes
V. I. Bogachev, M. Röckner, S. V. Shaposhnikov
Teor. Veroyatnost. i Primenen., 53:2 (2008),  213–239
11. Estimates of densities of stationary distributions and transition probabilities of diffusion processes
V. I. Bogachev, M. Röckner, S. V. Shaposhnikov
Teor. Veroyatnost. i Primenen., 52:2 (2007),  240–270
12. Second derivatives of convex functions in the sense of A. D. Aleksandrov on infinite-dimensional spaces with measure
V. I. Bogachev, B. Goldys
Mat. Zametki, 79:4 (2006),  488–504
13. Triangular transformations of measures
V. I. Bogachev, A. V. Kolesnikov, K. V. Medvedev
Mat. Sb., 196:3 (2005),  3–30
14. Global regularity and estimates for solutions of parabolic equations
V. I. Bogachev, M. Röckner, S. V. Shaposhnikov
Teor. Veroyatnost. i Primenen., 50:4 (2005),  652–674
15. Integrability of absolutely continuous measure transformations and applications to optimal transportation
V. I. Bogachev, A. V. Kolesnikov
Teor. Veroyatnost. i Primenen., 50:3 (2005),  433–456
16. Nonlinear transformations of convex measures
V. I. Bogachev, A. V. Kolesnikov
Teor. Veroyatnost. i Primenen., 50:1 (2005),  27–51
17. On $L^p$-uniqueness of symmetric diffusion operators on Riemannian manifolds
V. I. Bogachev, M. Röckner
Mat. Sb., 194:7 (2003),  15–24
18. Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions
V. I. Bogachev, M. Röckner, W. Stannat
Mat. Sb., 193:7 (2002),  3–36
19. Topological spaces with Prokhorov and Skorokhod properties
T. O. Banakh, V. I. Bogachev, A. V. Kolesnikov
Dokl. Akad. Nauk, 380:6 (2001),  727–730
20. Open Mappings of Probability Measures and the Skorokhod Representation Theorem
V. I. Bogachev, A. V. Kolesnikov
Teor. Veroyatnost. i Primenen., 46:1 (2001),  3–27
21. A generalization of Khasminskii's theorem on the existence of invariant measures for locally integrable drifts
V. I. Bogachev, M. Röckner
Teor. Veroyatnost. i Primenen., 45:3 (2000),  417–436
22. On the convergence of induced measures in variation
D. E. Aleksandrova, V. I. Bogachev, A. Yu. Pilipenko
Mat. Sb., 190:9 (1999),  3–20
23. On the small balls problem for equivalent Gaussian measures
V. I. Bogachev
Mat. Sb., 189:5 (1998),  47–68
24. Functionals of random processes and infinite-dimensional oscillatory integrals connected with them
V. I. Bogachev
Izv. RAN. Ser. Mat., 56:2 (1992),  243–278
25. Analytic properties of infinite-dimensional distributions
V. I. Bogachev, O. G. Smolyanov
Uspekhi Mat. Nauk, 45:3(273) (1990),  3–83
26. A polynomial diffeomorphism of a ball without invariant measures
V. I. Bogachev, Yu. I. Prostov
Funktsional. Anal. i Prilozhen., 23:4 (1989),  75–76
27. Differentiable and Lipschitzian mappings of Banach spaces
V. I. Bogachev, S. A. Shkarin
Mat. Zametki, 44:5 (1988),  567–583
28. On Skorokhod's Differentiability of Measures
V. I. Bogachev
Teor. Veroyatnost. i Primenen., 33:2 (1988),  349–354
29. The asymmetry indices of stable measures
V. I. Bogachev
Mat. Zametki, 40:1 (1986),  127–138
30. Some results on differentiable measures
V. I. Bogachev
Mat. Sb. (N.S.), 127(169):3(7) (1985),  336–351
31. Three problems of aronszajn in measure theory
V. I. Bogachev
Funktsional. Anal. i Prilozhen., 18:3 (1984),  75–76
32. Full access to content Negligible sets in locally convex spaces
V. I. Bogachev
Mat. Zametki, 36:1 (1984),  51–64

33. Студенческие олимпиады мехмата МГУ 2010–2011 гг.
I. V. Arzhantsev, V. I. Bogachev, A. I. Garber, A. A. Zaslavskii, V. Yu. Protassov, A. B. Skopenkov
Mat. Pros., Ser. 3, 16 (2012),  214–227
34. Студенческие олимпиады мехмата МГУ
I. V. Arzhantsev, V. I. Bogachev, A. A. Zaslavskii, V. Yu. Protassov, A. M. Raigorodskii, A. B. Skopenkov
Mat. Pros., Ser. 3, 14 (2010),  225–234
35. Oleg Georgievich Smolyanov (on his 70th birthday)
V. I. Bogachev, V. S. Vladimirov, I. V. Volovich, B. S. Kashin, A. I. Kirillov, V. V. Kozlov, V. P. Maslov, V. A. Sadovnichii, A. M. Stepin, V. M. Tikhomirov, A. V. Uglanov, A. Yu. Khrennikov, A. M. Chebotarev, E. T. Shavgulidze
Uspekhi Mat. Nauk, 64:1(385) (2009),  175–177
36. Студенческие олимпиады и межкафедральный семинар на мехмате Московского государственного университета
V. I. Bogachev, A. M. Raigorodskii, A. B. Skopenkov, N. A. Tolmachev
Mat. Pros., Ser. 3, 12 (2008),  205–222
37. Letter to the editors
V. I. Bogachev, M. Röckner
Teor. Veroyatnost. i Primenen., 46:3 (2001),  600

Presentations in Math-Net.Ru
1. Совместное заседание Московского математического общества и кафедры теории функций и функционального анализа механико-математического МГУ, посвященное 100-летию Георгия Евгеньевича Шилова
V. I. Bogachev, O. G. Smolyanov, V. M. Tikhomirov
Meetings of the Moscow Mathematical Society
November 7, 2017
2. Описание классов Никольского-Бесова через интегрирование по частям
V. I. Bogachev
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
February 22, 2017 16:00   
3. Monge and Kantorovich problems, spaces of measures, and Gromov triples
V. I. Bogachev
Globus Seminar
May 19, 2016 15:40   
4. Один подкласс класса Никольского-Бесова, связанный с распределениями многочленов от многих переменных
V. I. Bogachev, E. D. Kosov
Seminar on Theory of Functions of Real Variables
April 1, 2016 18:30
5. Prokhorov's Theorem and the Topology of Spaces of Probability Measures
V. I. Bogachev
International Scientific Conference "Probability Theory and its Applications" On Occasion of 85th Birthday of Yu. V. Prokhorov
February 13, 2015 17:15   
6. Kantorovich distances and the geometry of spaces of probability measures
V. I. Bogachev
Principle Seminar of the Department of Probability Theory, Moscow State University
October 10, 2012 16:45
7. Эргодическая теорема в форме Козлова–Трещева и связанные с ней результаты и открытые проблемы
V. I. Bogachev
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
March 27, 2008 11:00
8. О недавних результатах, связанных с нелинейными преобразованиями мер и задачей Монжа–Канторовича
V. I. Bogachev
Principle Seminar of the Department of Probability Theory, Moscow State University
February 22, 2006

Organisations
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2017