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Bogachev Vladimir Igorevich
Statistics Math-Net.Ru
Total publications:
36
Scientific articles:
31
Presentations:
8
Number of views:
This page: 8526 Abstract pages: 13734 Full texts: 3148 References: 954
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:
email
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
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=212251
Publications in Math-Net.Ru
1.
Ornstein–Uhlenbeck operators and semigroups V. I. BogachevUspekhi 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. ShaposhnikovTeor. 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. PopovaZap. Nauchn. Sem. POMI , 457 (2017), 53–73
4.
Distributions of polynomials on multidimensional and infinite-dimensional spaces with measures V. I. BogachevUspekhi 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. MiftakhovTheory 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. ShaposhnikovMat. 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. PolyTeor. Veroyatnost. i Primenen. , 59 :2 (2014), 214–232
8.
The Monge–Kantorovich problem: achievements, connections, and perspectives V. I. Bogachev, A. V. KolesnikovUspekhi Mat. Nauk , 67 :5(407) (2012), 3–110
9.
О многочленах от гауссовских случайных величин V. I. BogachevTeor. 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. ShaposhnikovDokl. Akad. Nauk , 426 :2 (2009), 156–161
11.
Elliptic and parabolic equations for measures V. I. Bogachev, N. V. Krylov, M. RöcknerUspekhi Mat. Nauk , 64 :6(390) (2009), 5–116
12.
Positive Densities of Transition Probabilities of Diffusion Processes V. I. Bogachev, M. Röckner, S. V. ShaposhnikovTeor. 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. ShaposhnikovTeor. 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. GoldysMat. Zametki , 79 :4 (2006), 488–504
15.
Triangular transformations of measures V. I. Bogachev, A. V. Kolesnikov, K. V. MedvedevMat. Sb. , 196 :3 (2005), 3–30
16.
Global regularity and estimates for solutions of parabolic equations V. I. Bogachev, M. Röckner, S. V. ShaposhnikovTeor. 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. KolesnikovTeor. Veroyatnost. i Primenen. , 50 :3 (2005), 433–456
18.
Nonlinear transformations of convex measures V. I. Bogachev, A. V. KolesnikovTeor. Veroyatnost. i Primenen. , 50 :1 (2005), 27–51
19.
On $L^p$ -uniqueness of symmetric diffusion operators on Riemannian manifolds V. I. Bogachev, M. RöcknerMat. 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. StannatMat. Sb. , 193 :7 (2002), 3–36
21.
Topological spaces with Prokhorov and Skorokhod properties T. O. Banakh, V. I. Bogachev, A. V. KolesnikovDokl. Akad. Nauk , 380 :6 (2001), 727–730
22.
Open Mappings of Probability Measures and the Skorokhod Representation Theorem V. I. Bogachev, A. V. KolesnikovTeor. 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. RöcknerTeor. 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. PilipenkoMat. Sb. , 190 :9 (1999), 3–20
25.
On the small balls problem for equivalent Gaussian measures V. I. BogachevMat. Sb. , 189 :5 (1998), 47–68
26.
Functionals of random processes and infinite-dimensional oscillatory integrals connected with them V. I. BogachevIzv. RAN. Ser. Mat. , 56 :2 (1992), 243–278
27.
Analytic properties of infinite-dimensional distributions V. I. Bogachev, O. G. SmolyanovUspekhi Mat. Nauk , 45 :3(273) (1990), 3–83
28.
A polynomial diffeomorphism of a ball without invariant measures V. I. Bogachev, Yu. I. ProstovFunktsional. Anal. i Prilozhen. , 23 :4 (1989), 75–76
29.
Differentiable and Lipschitzian mappings of Banach spaces V. I. Bogachev, S. A. ShkarinMat. Zametki , 44 :5 (1988), 567–583
30.
On Skorokhod's Differentiability of Measures V. I. BogachevTeor. Veroyatnost. i Primenen. , 33 :2 (1988), 349–354
31.
The asymmetry indices of stable measures V. I. BogachevMat. Zametki , 40 :1 (1986), 127–138
32.
Some results on differentiable measures V. I. BogachevMat. Sb. (N.S.) , 127(169) :3(7) (1985), 336–351
33.
Three problems of aronszajn in measure theory V. I. BogachevFunktsional. Anal. i Prilozhen. , 18 :3 (1984), 75–76
34.
Full access to content Negligible sets in locally convex spaces V. I. BogachevMat. Zametki , 36 :1 (1984), 51–64
35.
Студенческие олимпиады мехмата МГУ 2010–2011 гг. I. V. Arzhantsev, V. I. Bogachev, A. I. Garber, A. A. Zaslavskii, V. Yu. Protassov, A. B. SkopenkovMat. Pros., Ser. 3 , 16 (2012), 214–227
36.
Студенческие олимпиады мехмата МГУ I. V. Arzhantsev, V. I. Bogachev, A. A. Zaslavskii, V. Yu. Protassov, A. M. Raigorodskii, A. B. SkopenkovMat. Pros., Ser. 3 , 14 (2010), 225–234
37.
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. ShavgulidzeUspekhi Mat. Nauk , 64 :1(385) (2009), 175–177
38.
Студенческие олимпиады и межкафедральный семинар на мехмате Московского государственного университета V. I. Bogachev, A. M. Raigorodskii, A. B. Skopenkov, N. A. TolmachevMat. Pros., Ser. 3 , 12 (2008), 205–222
39.
Letter to the editors V. I. Bogachev, M. RöcknerTeor. 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