Persons: Bogachev Vladimir Igorevich

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Bogachev Vladimir Igorevich

Statistics Math-Net.Ru
Total publications:	37
Scientific articles:	31
Presentations:	8

Number of views:
This page:	9067
Abstract pages:	15072
Full texts:	3568
References:	983

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:

Bogachev V.I., Gaussian measures, American Mathematical Society, Rhose Island, 1998
Bogachev V.I., Measure theory, 1, Springer, Berlin, 2007
Bogachev V.I., Measure theory, 2, Springer, Berlin, 2007
Bogachev V.I., Differentiable measures and the Malliavin calculus, Regular and Chaotic Dynamics, Moscow, 2008
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

https://mathscinet.ams.org/mathscinet/MRAuthorID/212251

Publications in Math-Net.Ru

1.	Ornstein–Uhlenbeck operators and semigroups V. I. Bogachev Uspekhi Mat. Nauk, 73:2(440) (2018), 3–74
2.	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
3.	On the equality of values in the Monge and Kantorovich problems V. I. Bogachev, A. N. Kalinin, S. N. Popova Zap. Nauchn. Sem. POMI, 457 (2017), 53–73
4.	Distributions of polynomials on multidimensional and infinite-dimensional spaces with measures V. I. Bogachev Uspekhi Mat. Nauk, 71:4(430) (2016), 107–154
5.	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
6.	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
7.	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
8.	The Monge–Kantorovich problem: achievements, connections, and perspectives V. I. Bogachev, A. V. Kolesnikov Uspekhi Mat. Nauk, 67:5(407) (2012), 3–110
9.	О многочленах от гауссовских случайных величин V. I. Bogachev Teor. Veroyatnost. i Primenen., 55:3 (2010), 611
10.	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
11.	Elliptic and parabolic equations for measures V. I. Bogachev, N. V. Krylov, M. Röckner Uspekhi Mat. Nauk, 64:6(390) (2009), 5–116
12.	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
13.	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
14.	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
15.	Triangular transformations of measures V. I. Bogachev, A. V. Kolesnikov, K. V. Medvedev Mat. Sb., 196:3 (2005), 3–30
16.	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
17.	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
18.	Nonlinear transformations of convex measures V. I. Bogachev, A. V. Kolesnikov Teor. Veroyatnost. i Primenen., 50:1 (2005), 27–51
19.	On $L^p$-uniqueness of symmetric diffusion operators on Riemannian manifolds V. I. Bogachev, M. Röckner Mat. Sb., 194:7 (2003), 15–24
20.	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
21.	Topological spaces with Prokhorov and Skorokhod properties T. O. Banakh, V. I. Bogachev, A. V. Kolesnikov Dokl. Akad. Nauk, 380:6 (2001), 727–730
22.	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
23.	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
24.	On the convergence of induced measures in variation D. E. Aleksandrova, V. I. Bogachev, A. Yu. Pilipenko Mat. Sb., 190:9 (1999), 3–20
25.	On the small balls problem for equivalent Gaussian measures V. I. Bogachev Mat. Sb., 189:5 (1998), 47–68
26.	Functionals of random processes and infinite-dimensional oscillatory integrals connected with them V. I. Bogachev Izv. RAN. Ser. Mat., 56:2 (1992), 243–278
27.	Analytic properties of infinite-dimensional distributions V. I. Bogachev, O. G. Smolyanov Uspekhi Mat. Nauk, 45:3(273) (1990), 3–83
28.	A polynomial diffeomorphism of a ball without invariant measures V. I. Bogachev, Yu. I. Prostov Funktsional. Anal. i Prilozhen., 23:4 (1989), 75–76
29.	Differentiable and Lipschitzian mappings of Banach spaces V. I. Bogachev, S. A. Shkarin Mat. Zametki, 44:5 (1988), 567–583
30.	On Skorokhod's Differentiability of Measures V. I. Bogachev Teor. Veroyatnost. i Primenen., 33:2 (1988), 349–354
31.	The asymmetry indices of stable measures V. I. Bogachev Mat. Zametki, 40:1 (1986), 127–138
32.	Some results on differentiable measures V. I. Bogachev Mat. Sb. (N.S.), 127(169):3(7) (1985), 336–351
33.	Three problems of aronszajn in measure theory V. I. Bogachev Funktsional. Anal. i Prilozhen., 18:3 (1984), 75–76
34.	Full access to content Negligible sets in locally convex spaces V. I. Bogachev Mat. Zametki, 36:1 (1984), 51–64

35.	Vasilii Vasil'evich Zhikov (obituary) Yu. A. Alkhutov, I. V. Astashova, V. I. Bogachev, V. N. Denisov, V. V. Kozlov, S. E. Pastukhova, A. L. Piatnitski, V. A. Sadovnichii, A. M. Stepin, A. S. Shamaev, A. A. Shkalikov Uspekhi Mat. Nauk, 73:3(441) (2018), 169–176
36.	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
37.	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
38.	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
39.	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
40.	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

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