Persons: Bogachev, Vladimir Igorevich

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Bogachev, Vladimir Igorevich

Statistics Math-Net.Ru
Total publications:	53
Scientific articles:	45
Presentations:	15

Number of views:
This page:	12926
Abstract pages:	24000
Full texts:	7728
References:	1482

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

http://orcid.org/0000-0001-5249-2965

http://www.researcherid.com/rid/P-6316-2016

https://www.scopus.com/authid/detail.url?authorId=7005751293

Publications in Math-Net.Ru

	2021
1.	Vladimir I. Bogachev, Alexander Shaposhnikov, Feng-Yu Wang, “Sobolev-–Kantorovich inequalities under $CD(0, \infty)$ condition”, Commun. Contemp. Math., 2021, 2150027–28
2.	V. I. Bogachev, “On approximation of measures by their finite-dimensional images”, Funktsional. Anal. i Prilozhen., 55:3 (2021), 75–81
3.	V. I. Bogachev, “On Sequential Properties of Spaces of Measures”, Mat. Zametki, 110:3 (2021), 459–464 ; Math. Notes, 110:3 (2021), 449–453
4.	V. I. Bogachev, T. I. Krasovitskii, S. V. Shaposhnikov, “On uniqueness of probability solutions of the Fokker-Planck-Kolmogorov equation”, Mat. Sb., 212:6 (2021), 3–42 ; Sb. Math., 212:6 (2021), 745–781
	2020
5.	V. I. Bogachev, “Non-uniform Kozlov–Treschev averagings in the ergodic theorem”, Uspekhi Mat. Nauk, 75:3(453) (2020), 3–36 ; Russian Math. Surveys, 75:3 (2020), 393–425
6.	V. I. Bogachev, “Approximations of Nonlinear Integral Functionals of Entropy Type”, Trudy MIAN, 310 (2020), 7–18 ; Proc. Steklov Inst. Math., 310 (2020), 1–11
	2019
7.	Vladimir I. Bogachev, Egor D. Kosov, Svetlana N. Popova, “A new approach to Nikolskii–Besov classes”, Mosc. Math. J., 19:4 (2019), 619–654
	2018
8.	V. I. Bogachev, “Ornstein–Uhlenbeck operators and semigroups”, Uspekhi Mat. Nauk, 73:2(440) (2018), 3–74 ; Russian Math. Surveys, 73:2 (2018), 191–260
	2017
9.	V. I. Bogachev, A. I. Kirillov, S. V. Shaposhnikov, “Distances between stationary distributions of diffusions and solvability of nonlinear Fokker–Planck–Kolmogorov equations”, Teor. Veroyatnost. i Primenen., 62:1 (2017), 16–43 ; Theory Probab. Appl., 62:1 (2018), 12–34
10.	V. I. Bogachev, A. N. Kalinin, S. N. Popova, “On the equality of values in the Monge and Kantorovich problems”, Zap. Nauchn. Sem. POMI, 457 (2017), 53–73 ; J. Math. Sci. (N. Y.), 238:4 (2019), 377–389
	2016
11.	V. I. Bogachev, “Distributions of polynomials on multidimensional and infinite-dimensional spaces with measures”, Uspekhi Mat. Nauk, 71:4(430) (2016), 107–154 ; Russian Math. Surveys, 71:4 (2016), 703–749
12.	V. I. Bogachev, A. F. Miftakhov, “On weak convergence of finite-dimensional and infinite-dimensional distributions of random processes”, Theory Stoch. Process., 21(37):1 (2016), 1–11
	2014
13.	V. I. Bogachev, A. I. Kirillov, S. V. Shaposhnikov, “The Kantorovich and variation distances between invariant measures of diffusions and nonlinear stationary Fokker–Planck–Kolmogorov equations”, Math. Notes, 96:5 (2014), 855–863
14.	V. I. Bogachev, E. D. Kosov, I. Nourdin, G. Poly, “Two properties of vectors of quadratic forms of Gaussian random variables”, Teor. Veroyatnost. i Primenen., 59:2 (2014), 214–232 ; Theory Probab. Appl., 59:2 (2015), 208–221
	2012
15.	V. I. Bogachev, A. V. Kolesnikov, “The Monge–Kantorovich problem: achievements, connections, and perspectives”, Uspekhi Mat. Nauk, 67:5(407) (2012), 3–110 ; Russian Math. Surveys, 67:5 (2012), 785–890
	2010
16.	V. I. Bogachev, “О многочленах от гауссовских случайных величин”, Teor. Veroyatnost. i Primenen., 55:3 (2010), 611
	2009
17.	V. I. Bogachev, M. Röckner, S. V. Shaposhnikov, “Lower estimates of densities of solutions of elliptic equations for measures”, Dokl. Akad. Nauk, 426:2 (2009), 156–161 ; Dokl. Math., 79:3 (2009), 329–334
18.	V. I. Bogachev, N. V. Krylov, M. Röckner, “Elliptic and parabolic equations for measures”, Uspekhi Mat. Nauk, 64:6(390) (2009), 5–116 ; Russian Math. Surveys, 64:6 (2009), 973–1078
	2008
19.	V. I. Bogachev, M. Röckner, S. V. Shaposhnikov, “Positive Densities of Transition Probabilities of Diffusion Processes”, Teor. Veroyatnost. i Primenen., 53:2 (2008), 213–239 ; Theory Probab. Appl., 53:2 (2009), 194–215
	2007
20.	V. I. Bogachev, M. Röckner, S. V. Shaposhnikov, “Estimates of densities of stationary distributions and transition probabilities of diffusion processes”, Teor. Veroyatnost. i Primenen., 52:2 (2007), 240–270 ; Theory Probab. Appl., 52:2 (2008), 209–236
	2006
21.	V. I. Bogachev, B. Goldys, “Second derivatives of convex functions in the sense of A. D. Aleksandrov on infinite-dimensional spaces with measure”, Mat. Zametki, 79:4 (2006), 488–504 ; Math. Notes, 79:4 (2006), 454–467
	2005
22.	V. I. Bogachev, A. V. Kolesnikov, K. V. Medvedev, “Triangular transformations of measures”, Mat. Sb., 196:3 (2005), 3–30 ; Sb. Math., 196:3 (2005), 309–335
23.	V. I. Bogachev, M. Röckner, S. V. Shaposhnikov, “Global regularity and estimates for solutions of parabolic equations”, Teor. Veroyatnost. i Primenen., 50:4 (2005), 652–674 ; Theory Probab. Appl., 50:4 (2006), 561–581
24.	V. I. Bogachev, A. V. Kolesnikov, “Integrability of absolutely continuous measure transformations and applications to optimal transportation”, Teor. Veroyatnost. i Primenen., 50:3 (2005), 433–456 ; Theory Probab. Appl., 50:3 (2006), 367–385
25.	V. I. Bogachev, A. V. Kolesnikov, “Nonlinear transformations of convex measures”, Teor. Veroyatnost. i Primenen., 50:1 (2005), 27–51 ; Theory Probab. Appl., 50:1 (2006), 34–52
	2003
26.	V. I. Bogachev, M. Röckner, “On $L^p$-uniqueness of symmetric diffusion operators on Riemannian manifolds”, Mat. Sb., 194:7 (2003), 15–24 ; Sb. Math., 194:7 (2003), 969–978
	2002
27.	V. I. Bogachev, M. Röckner, W. Stannat, “Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions”, Mat. Sb., 193:7 (2002), 3–36 ; Sb. Math., 193:7 (2002), 945–976
	2001
28.	T. O. Banakh, V. I. Bogachev, A. V. Kolesnikov, “Topological spaces with Prokhorov and Skorokhod properties”, Dokl. Akad. Nauk, 380:6 (2001), 727–730 ; Dokl. Math., 64:2 (2001), 244–247
29.	V. I. Bogachev, A. V. Kolesnikov, “Open Mappings of Probability Measures and the Skorokhod Representation Theorem”, Teor. Veroyatnost. i Primenen., 46:1 (2001), 3–27 ; Theory Probab. Appl., 46:1 (2002), 20–38
	2000
30.	V. I. Bogachev, M. Röckner, “A generalization of Khasminskii's theorem on the existence of invariant measures for locally integrable drifts”, Teor. Veroyatnost. i Primenen., 45:3 (2000), 417–436 ; Theory Probab. Appl., 45:3 (2001), 363–378
	1999
31.	D. E. Aleksandrova, V. I. Bogachev, A. Yu. Pilipenko, “On the convergence of induced measures in variation”, Mat. Sb., 190:9 (1999), 3–20 ; Sb. Math., 190:9 (1999), 1229–1245
	1998
32.	V. I. Bogachev, “On the small balls problem for equivalent Gaussian measures”, Mat. Sb., 189:5 (1998), 47–68 ; Sb. Math., 189:5 (1998), 683–705
	1995
33.	V. I. Bogachev, “Onsager–Machlup functions for Gaussian measures”, Dokl. Akad. Nauk, 344:4 (1995), 439–441
	1992
34.	V. I. Bogachev, “Functionals of random processes and infinite-dimensional oscillatory integrals connected with them”, Izv. RAN. Ser. Mat., 56:2 (1992), 243–278 ; Russian Acad. Sci. Izv. Math., 40:2 (1993), 235–266
	1990
35.	V. I. Bogachev, “Distributions of analytic functionals of random processes”, Dokl. Akad. Nauk SSSR, 312:6 (1990), 1291–1296 ; Dokl. Math., 41:3 (1990), 517–522
36.	V. I. Bogachev, O. G. Smolyanov, “Analytic properties of infinite-dimensional distributions”, Uspekhi Mat. Nauk, 45:3(273) (1990), 3–83 ; Russian Math. Surveys, 45:3 (1990), 1–104
	1989
37.	V. I. Bogachev, Yu. I. Prostov, “A polynomial diffeomorphism of a ball without invariant measures”, Funktsional. Anal. i Prilozhen., 23:4 (1989), 75–76 ; Funct. Anal. Appl., 23:4 (1989), 317–319
	1988
38.	V. I. Bogachev, “Subspaces of the differentiability of smooth measures on infinite-dimensional spaces”, Dokl. Akad. Nauk SSSR, 299:1 (1988), 18–22 ; Dokl. Math., 37:2 (1988), 304–308
39.	V. I. Bogachev, S. A. Shkarin, “Differentiable and Lipschitzian mappings of Banach spaces”, Mat. Zametki, 44:5 (1988), 567–583 ; Math. Notes, 44:5 (1988), 790–798
40.	V. I. Bogachev, “On Skorokhod's Differentiability of Measures”, Teor. Veroyatnost. i Primenen., 33:2 (1988), 349–354 ; Theory Probab. Appl., 33:2 (1988), 330–334
	1986
41.	V. I. Bogachev, “The asymmetry indices of stable measures”, Mat. Zametki, 40:1 (1986), 127–138 ; Math. Notes, 40:1 (1986), 569–575
42.	V. I. Bogachev, “Locally convex spaces with the CLT property and supports of measures”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1986, 6, 16–20
	1985
43.	V. I. Bogachev, “Some results on differentiable measures”, Mat. Sb. (N.S.), 127(169):3(7) (1985), 336–351 ; Math. USSR-Sb., 55:2 (1986), 335–349
	1984
44.	V. I. Bogachev, “Three problems of aronszajn in measure theory”, Funktsional. Anal. i Prilozhen., 18:3 (1984), 75–76 ; Funct. Anal. Appl., 18:3 (1984), 242–244
45.	V. I. Bogachev, “Full access to content Negligible sets in locally convex spaces”, Mat. Zametki, 36:1 (1984), 51–64
	1982
46.	V. I. Bogachev, “Negligible sets and differentiable measures in Banach spaces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, 3, 47–52

	2019
47.	V. I. Bogachev, I. V. Volovich, B. S. Kashin, V. V. Kozlov, V. P. Maslov, V. A. Sadovnichii, A. M. Stepin, V. M. Tikhomirov, A. Yu. Khrennikov, E. T. Shavgulidze, “Oleg Georgievich Smolyanov (on his 80th birthday)”, Uspekhi Mat. Nauk, 74:4(448) (2019), 191–193 ; Russian Math. Surveys, 74:4 (2019), 771–773
	2018
48.	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, “Vasilii Vasil'evich Zhikov (obituary)”, Uspekhi Mat. Nauk, 73:3(441) (2018), 169–176 ; Russian Math. Surveys, 73:3 (2018), 533–542
	2012
49.	I. V. Arzhantsev, V. I. Bogachev, A. I. Garber, A. A. Zaslavskii, V. Yu. Protassov, A. B. Skopenkov, “Студенческие олимпиады мехмата МГУ 2010–2011 гг.”, Mat. Pros., Ser. 3, 16 (2012), 214–227
	2010
50.	I. V. Arzhantsev, V. I. Bogachev, A. A. Zaslavskii, V. Yu. Protassov, A. M. Raigorodskii, A. B. Skopenkov, “Студенческие олимпиады мехмата МГУ”, Mat. Pros., Ser. 3, 14 (2010), 225–234
	2009
51.	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, “Oleg Georgievich Smolyanov (on his 70th birthday)”, Uspekhi Mat. Nauk, 64:1(385) (2009), 175–177 ; Russian Math. Surveys, 64:1 (2009), 183–185
	2008
52.	V. I. Bogachev, A. M. Raigorodskii, A. B. Skopenkov, N. A. Tolmachev, “Студенческие олимпиады и межкафедральный семинар на мехмате Московского государственного университета”, Mat. Pros., Ser. 3, 12 (2008), 205–222
	2001
53.	V. I. Bogachev, M. Röckner, “Letter to the editors”, Teor. Veroyatnost. i Primenen., 46:3 (2001), 600
	1998
54.	V. S. Vladimirov, V. A. Sadovnichii, P. L. Ul'yanov, R. A. Minlos, V. I. Bogachev, A. M. Stepin, A. V. Uglanov, E. T. Shavgulidze, “Oleg Georgievitch Smolyanov (to 60th anniversary)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, 5, 69–70

Presentations in Math-Net.Ru

1.	Chebyshev-Hermite polynomials and distributions of polynomials in Gaussian random variables Vladimir Bogachev International Conference "Theory of Probability and Its Applications: P. L. Chebyshev – 200" (The 6th International Conference on Stochastic Methods) May 19, 2021 16:00
2.	Elliptic Equations for Measures V. I. Bogachev Complex analysis and mathematical physics March 9, 2021 16:00
3.	Uniqueness problems for the Fokker-Planck-Kolmogorov equations V. I. Bogachev Principle Seminar of the Department of Probability Theory, Moscow State University March 3, 2021 16:45
4.	Задачи Монжа и Канторовича V. I. Bogachev Differential equations, analysis and control: theory and applications March 16, 2020 18:30
5.	The ergodic theorem in the Kozlov–Treschev form V. I. Bogachev International Conference "Classical Mechanics, Dynamical Systems and Mathematical Physics" on the occasion of V. V. Kozlov 70th birthday January 24, 2020 10:45
6.	Fokker–Planck–Kolmogorov equations: the main achievements and open problems V. I. Bogachev Steklov Mathematical Institute Seminar June 20, 2019 16:00
7.	Стационарные уравнения Колмогорова: недавние достижения и открытые проблемы V. I. Bogachev Seminar on Theory of Functions of Real Variables April 19, 2019 18:30
8.	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
9.	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
10.	Monge and Kantorovich problems, spaces of measures, and Gromov triples V. I. Bogachev Globus Seminar May 19, 2016 15:40
11.	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
12.	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
13.	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
14.	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
15.	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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