Vladimir Bogachev, “On compactification of spaces of measures”, Funktsional. Anal. i Prilozhen., 58:1 (2024), 4–21; Funct. Anal. Appl., 58:1 (2024), 2–15
2.
V. I. Bogachev, I. I. Malofeev, S. V. Shaposhnikov, “On dependence of solutions to Fokker–Planck–Kolmogorov equations on their coefficients and initial data”, Math. Notes, 116:3 (2024), 421–431
3.
V. I. Bogachev, S. N. Popova, “Hausdorff distances between couplings and optimal transportation”, Mat. Sb., 215:1 (2024), 33–58; Sb. Math., 215:1 (2024), 28–51
V. I. Bogachev, S. V. Shaposhnikov, “Kolmogorov equations for degenerate Ornstein–Uhlenbeck operators”, Sibirsk. Mat. Zh., 65:1 (2024), 27–37
2023
5.
V. I. Bogachev, D. I. Salakhov, S. V. Shaposhnikov, “The Fokker–Planck–Kolmogorov equation with nonlinear terms of local and types”, Algebra i Analiz, 35:5 (2023), 11–38
6.
V. I. Bogachev, S. V. Shaposhnikov, “Fokker–Planck–Kolmogorov equations with a parameter”, Dokl. RAN. Math. Inf. Proc. Upr., 513 (2023), 21–26; Dokl. Math., 108:2 (2023), 357–362
7.
Vladimir I. Bogachev, Svetlana N. Popova, “On Radon barycenters of measures on spaces of measures”, Bulletin of Irkutsk State University. Series Mathematics, 44 (2023), 19–30
Vladimir I. Bogachev, Egor D. Kosov, Alexander V. Shaposhnikov, “Regularity of solutions to Kolmogorov equations with perturbed drifts”, Potential Anal., 58 (2023), 681–702
Vladimir I. Bogachev, Svetlana N. Popova, Airat V. Rezbaev, “On nonlinear Kantorovich problems with density constraints”, Mosc. Math. J., 23:3 (2023), 285–307
V. I. Bogachev, “Sobolev and Besov Classes on Infinite-Dimensional Spaces”, Trudy Mat. Inst. Steklova, 323 (2023), 65–86; Proc. Steklov Inst. Math., 323 (2023), 59–80
11.
V. I. Bogachev, M. Röckner, S. V. Shaposhnikov, “Kolmogorov problems on equations for stationary and transition probabilities of diffusion processes”, Teor. Veroyatnost. i Primenen., 68:3 (2023), 420–455; Theory Probab. Appl., 68:3 (2023), 342–369
Vladimir I. Bogachev, Alexander V. Shaposhnikov, Feng-Yu Wang, “Sobolev–Kantorovich inequalities under $CD(0,\infty)$ condition”, Commun. Contemp. Math., 24:5 (2022), 2150027–27
V. I. Bogachev, S. N. Popova, “On Kantorovich problems with a parameter”, Dokl. RAN. Math. Inf. Proc. Upr., 507 (2022), 26–28; Dokl. Math., 106:3 (2022), 426–428
V. I. Bogachev, M. Röckner, S. V. Shaposhnikov, “Applications of Zvonkin's transform to stationary Kolmogorov equations”, Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022), 20–24; Dokl. Math., 106:2 (2022), 318–321
V. I. Bogachev, “Pointwise Conditions for Membership of Functions in Weighted Sobolev Classes”, Funktsional. Anal. i Prilozhen., 56:2 (2022), 10–28; Funct. Anal. Appl., 56:2 (2022), 86–100
Vladimir I. Bogachev, Ilya I. Malofeev, “Nonlinear Kantorovich problems with a parameter”, Bulletin of Irkutsk State University. Series Mathematics, 41 (2022), 96–106
V. I. Bogachev, A. V. Rezbayev, “Existence of Solutions to the Nonlinear Kantorovich Transportation Problem”, Mat. Zametki, 112:3 (2022), 360–370; Math. Notes, 112:3 (2022), 369–377
V. I. Bogachev, “Kantorovich problem of optimal transportation of measures: new directions of research”, Uspekhi Mat. Nauk, 77:5(467) (2022), 3–52; Russian Math. Surveys, 77:5 (2022), 769–817
V. I. Bogachev, “Kantorovich problems with a parameter and density constraints”, Sibirsk. Mat. Zh., 63:1 (2022), 42–57; Siberian Math. J., 63:1 (2022), 34–47
V. I. Bogachev, S. V. Shaposhnikov, “Uniqueness of a probability solution to the Kolmogorov equation with a diffusion matrix satisfying Dini’s condition”, Dokl. RAN. Math. Inf. Proc. Upr., 501 (2021), 11–15; Dokl. Math., 104:3 (2021), 322–325
G. A. Alekseev, K. A. Afonin, V. I. Bogachev, “On Gaussian transition operators”, Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021), 10–15; Dokl. Math., 104:2 (2021), 229–233
V. I. Bogachev, T. I. Krasovitskii, S. V. Shaposhnikov, “On nonuniqueness of probability solutions to the Cauchy problem for the Fokker–Planck–Kolmogorov equation”, Dokl. RAN. Math. Inf. Proc. Upr., 498 (2021), 16–20; Dokl. Math., 103:3 (2021), 108–112
V. I. Bogachev, “On approximation of measures by their finite-dimensional images”, Funktsional. Anal. i Prilozhen., 55:3 (2021), 75–81; Funct. Anal. Appl., 55:3 (2021), 236–241
V. I. Bogachev, E. D. Kosov, S. N. Popova, “On distributions of homogeneous and convex functions in Gaussian random variables”, Izv. RAN. Ser. Mat., 85:5 (2021), 25–57; Izv. Math., 85:5 (2021), 852–882
V. I. Bogachev, A. N. Doledenok, I. I. Malofeev, “The Kantorovich Problem with a Parameter and Density Constraints”, Mat. Zametki, 110:6 (2021), 922–926; Math. Notes, 110:6 (2021), 952–955
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
V. I. Bogachev, “Chebyshev–Hermite polynomials and distributions of polynomials in Gaussian random variables”, Teor. Veroyatnost. i Primenen., 66:4 (2021), 693–717; Theory Probab. Appl., 66:4 (2022), 550–569
V. I. Bogachev, T. I. Krasovitskii, S. V. Shaposhnikov, “The Kolmogorov problem on uniqueness of probability solutions of a parabolic equation”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020), 22–25; Dokl. Math., 102:3 (2020), 464–467
V. I. Bogachev, E. D. Kosov, S. N. Popova, “Densities of distributions of homogeneous functions of Gaussian random vectors”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020), 17–21; Dokl. Math., 102:3 (2020), 460–463
V. I. Bogachev, “Approximations of Nonlinear Integral Functionals of Entropy Type”, Trudy Mat. Inst. Steklova, 310 (2020), 7–18; Proc. Steklov Inst. Math., 310 (2020), 1–11
2019
33.
Vladimir I. Bogachev, Egor D. Kosov, Svetlana N. Popova, “A new approach to Nikolskii–Besov classes”, Mosc. Math. J., 19:4 (2019), 619–654
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
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
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
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
39.
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
55.
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
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
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
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
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
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
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
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
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
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
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
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
74.
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
75.
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
76.
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
77.
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
78.
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
79.
V. I. Bogachev, M. Röckner, “Letter to the editors”, Teor. Veroyatnost. i Primenen., 46:3 (2001), 600
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, no. 5, 69–70
Продолжение соболевских функций на бесконечномерных пространствах V. I. Bogachev VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev November 16, 2023 10:00
Distributions obtained by regularization of non-integrable functions V. I. Bogachev III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 11, 2023 10:00
5.
Pointwise characterizations of Sobolev functions V. I. Bogachev Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov May 31, 2023 16:00
Distributions of polynomials in random variables V. I. Bogachev “Algebra, algebraic geometry, and number theory”. Memorial conference for academician Igor Rostislavovich Shafarevich June 6, 2022 12:15
Задачи Монжа и Канторовича V. I. Bogachev Differential equations, analysis and control: theory and applications March 16, 2020 18:30
17.
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