Bogachev Vladimir Igorevich

Publications in Math-Net.Ru

1. On uniquely solvable Fokker–Planck–Kolmogorov equations
   
   Izv. RAN. Ser. Mat., 89:5 (2025),  32–53
2. Regularity of solutions to Fokker–Planck–Kolmogorov equations
   
   Uspekhi Mat. Nauk, 80:6(486) (2025),  3–44
3. Spaces of measure-valued mappings connected with disintegrations
   
   Sibirsk. Mat. Zh., 66:2 (2025),  147–164
4. Research activity on the Chair of Theory of Functions and Functional Analysis
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 1,  39–50
5. Compactification of spaces of measures and pseudocompactness
   
   Dokl. RAN. Math. Inf. Proc. Upr., 518 (2024),  75–79
6. On reconstruction of Kolmogorov operators with discontinuous coefficients
   
   Dokl. RAN. Math. Inf. Proc. Upr., 516 (2024),  5–8
7. On compactification of spaces of measures
   
   Funktsional. Anal. i Prilozhen., 58:1 (2024),  4–21
8. On dependence of solutions to Fokker–Planck–Kolmogorov equations on their coefficients and initial data
   
   Mat. Zametki, 116:3 (2024),  421–431
9. Nonlinear Fokker–Planck–Kolmogorov equations
   
   Uspekhi Mat. Nauk, 79:5(479) (2024),  3–60
10. Hausdorff distances between couplings and optimal transportation
    
    Mat. Sb., 215:1 (2024),  33–58
11. Kolmogorov equations for degenerate Ornstein–Uhlenbeck operators
    
    Sibirsk. Mat. Zh., 65:1 (2024),  27–37
12. The Fokker–Planck–Kolmogorov equation with nonlinear terms of local and types
    
    Algebra i Analiz, 35:5 (2023),  11–38
13. Fokker–Planck–Kolmogorov equations with a parameter
    
    Dokl. RAN. Math. Inf. Proc. Upr., 513 (2023),  21–26
14. On Radon barycenters of measures on spaces of measures
    
    Bulletin of Irkutsk State University. Series Mathematics, 44 (2023),  19–30
15. Regularity of solutions to Kolmogorov equations with perturbed drifts
    
    Potential Anal., 58 (2023),  681–702
16. On nonlinear Kantorovich problems with density constraints
    
    Mosc. Math. J., 23:3 (2023),  285–307
17. Sobolev and Besov Classes on Infinite-Dimensional Spaces
    
    Trudy Mat. Inst. Steklova, 323 (2023),  65–86
18. Kolmogorov problems on equations for stationary and transition probabilities of diffusion processes
    
    Teor. Veroyatnost. i Primenen., 68:3 (2023),  420–455
19. Sobolev–Kantorovich inequalities under $CD(0,\infty)$ condition
    
    Commun. Contemp. Math., 24:5 (2022),  2150027–27
20. On Kantorovich problems with a parameter
    
    Dokl. RAN. Math. Inf. Proc. Upr., 507 (2022),  26–28
21. Applications of Zvonkin's transform to stationary Kolmogorov equations
    
    Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022),  20–24
22. Pointwise Conditions for Membership of Functions in Weighted Sobolev Classes
    
    Funktsional. Anal. i Prilozhen., 56:2 (2022),  10–28
23. Nonlinear Kantorovich problems with a parameter
    
    Bulletin of Irkutsk State University. Series Mathematics, 41 (2022),  96–106
24. Existence of Solutions to the Nonlinear Kantorovich Transportation Problem
    
    Mat. Zametki, 112:3 (2022),  360–370
25. Kantorovich problem of optimal transportation of measures: new directions of research
    
    Uspekhi Mat. Nauk, 77:5(467) (2022),  3–52
26. Kantorovich problems with a parameter and density constraints
    
    Sibirsk. Mat. Zh., 63:1 (2022),  42–57
27. 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
28. On Gaussian transition operators
    
    Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021),  10–15
29. 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
30. On approximation of measures by their finite-dimensional images
    
    Funktsional. Anal. i Prilozhen., 55:3 (2021),  75–81
31. On distributions of homogeneous and convex functions in Gaussian random variables
    
    Izv. RAN. Ser. Mat., 85:5 (2021),  25–57
32. The Kantorovich Problem with a Parameter and Density Constraints
    
    Mat. Zametki, 110:6 (2021),  922–926
33. On Sequential Properties of Spaces of Measures
    
    Mat. Zametki, 110:3 (2021),  459–464
34. On uniqueness of probability solutions of the Fokker-Planck-Kolmogorov equation
    
    Mat. Sb., 212:6 (2021),  3–42
35. Chebyshev–Hermite polynomials and distributions of polynomials in Gaussian random variables
    
    Teor. Veroyatnost. i Primenen., 66:4 (2021),  693–717
36. The Kolmogorov problem on uniqueness of probability solutions of a parabolic equation
    
    Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020),  22–25
37. Densities of distributions of homogeneous functions of Gaussian random vectors
    
    Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020),  17–21
38. Non-uniform Kozlov–Treschev averagings in the ergodic theorem
    
    Uspekhi Mat. Nauk, 75:3(453) (2020),  3–36
39. Approximations of Nonlinear Integral Functionals of Entropy Type
    
    Trudy Mat. Inst. Steklova, 310 (2020),  7–18
40. A new approach to Nikolskii–Besov classes
    
    Mosc. Math. J., 19:4 (2019),  619–654
41. Ornstein–Uhlenbeck operators and semigroups
    
    Uspekhi Mat. Nauk, 73:2(440) (2018),  3–74
42. Distances between stationary distributions of diffusions and solvability of nonlinear Fokker–Planck–Kolmogorov equations
    
    Teor. Veroyatnost. i Primenen., 62:1 (2017),  16–43
43. On the equality of values in the Monge and Kantorovich problems
    
    Zap. Nauchn. Sem. POMI, 457 (2017),  53–73
44. Distributions of polynomials on multidimensional and infinite-dimensional spaces with measures
    
    Uspekhi Mat. Nauk, 71:4(430) (2016),  107–154
45. On weak convergence of finite-dimensional and infinite-dimensional distributions of random processes
    
    Theory Stoch. Process., 21(37):1 (2016),  1–11
46. The Kantorovich and variation distances between invariant measures of diffusions and nonlinear stationary Fokker–Planck–Kolmogorov equations
    
    Mat. Zametki, 96:5 (2014),  855–863
47. Two properties of vectors of quadratic forms of Gaussian random variables
    
    Teor. Veroyatnost. i Primenen., 59:2 (2014),  214–232
48. The Monge–Kantorovich problem: achievements, connections, and perspectives
    
    Uspekhi Mat. Nauk, 67:5(407) (2012),  3–110
49. О многочленах от гауссовских случайных величин
    
    Teor. Veroyatnost. i Primenen., 55:3 (2010),  611
50. Lower estimates of densities of solutions of elliptic equations for measures
    
    Dokl. Akad. Nauk, 426:2 (2009),  156–161
51. Elliptic and parabolic equations for measures
    
    Uspekhi Mat. Nauk, 64:6(390) (2009),  5–116
52. Positive Densities of Transition Probabilities of Diffusion Processes
    
    Teor. Veroyatnost. i Primenen., 53:2 (2008),  213–239
53. Estimates of densities of stationary distributions and transition probabilities of diffusion processes
    
    Teor. Veroyatnost. i Primenen., 52:2 (2007),  240–270
54. 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
55. Triangular transformations of measures
    
    Mat. Sb., 196:3 (2005),  3–30
56. Global regularity and estimates for solutions of parabolic equations
    
    Teor. Veroyatnost. i Primenen., 50:4 (2005),  652–674
57. Integrability of absolutely continuous measure transformations and applications to optimal transportation
    
    Teor. Veroyatnost. i Primenen., 50:3 (2005),  433–456
58. Nonlinear transformations of convex measures
    
    Teor. Veroyatnost. i Primenen., 50:1 (2005),  27–51
59. On $L^p$-uniqueness of symmetric diffusion operators on Riemannian manifolds
    
    Mat. Sb., 194:7 (2003),  15–24
60. Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions
    
    Mat. Sb., 193:7 (2002),  3–36
61. Topological spaces with Prokhorov and Skorokhod properties
    
    Dokl. Akad. Nauk, 380:6 (2001),  727–730
62. Open Mappings of Probability Measures and the Skorokhod Representation Theorem
    
    Teor. Veroyatnost. i Primenen., 46:1 (2001),  3–27
63. 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
64. On the convergence of induced measures in variation
    
    Mat. Sb., 190:9 (1999),  3–20
65. On the small balls problem for equivalent Gaussian measures
    
    Mat. Sb., 189:5 (1998),  47–68
66. Onsager–Machlup functions for Gaussian measures
    
    Dokl. Akad. Nauk, 344:4 (1995),  439–441
67. Functionals of random processes and infinite-dimensional oscillatory integrals connected with them
    
    Izv. RAN. Ser. Mat., 56:2 (1992),  243–278
68. Distributions of analytic functionals of random processes
    
    Dokl. Akad. Nauk SSSR, 312:6 (1990),  1291–1296
69. Analytic properties of infinite-dimensional distributions
    
    Uspekhi Mat. Nauk, 45:3(273) (1990),  3–83
70. A polynomial diffeomorphism of a ball without invariant measures
    
    Funktsional. Anal. i Prilozhen., 23:4 (1989),  75–76
71. Subspaces of the differentiability of smooth measures on infinite-dimensional spaces
    
    Dokl. Akad. Nauk SSSR, 299:1 (1988),  18–22
72. Differentiable and Lipschitzian mappings of Banach spaces
    
    Mat. Zametki, 44:5 (1988),  567–583
73. On Skorokhod's Differentiability of Measures
    
    Teor. Veroyatnost. i Primenen., 33:2 (1988),  349–354
74. The asymmetry indices of stable measures
    
    Mat. Zametki, 40:1 (1986),  127–138
75. Locally convex spaces with the CLT property and supports of measures
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1986, no. 6,  16–20
76. Some results on differentiable measures
    
    Mat. Sb. (N.S.), 127(169):3(7) (1985),  336–351
77. Three problems of aronszajn in measure theory
    
    Funktsional. Anal. i Prilozhen., 18:3 (1984),  75–76
78. Full access to content Negligible sets in locally convex spaces
    
    Mat. Zametki, 36:1 (1984),  51–64
79. Negligible sets and differentiable measures in Banach spaces
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 3,  47–52


80. On the 90th anniversary of the birth of Vladimir Nikolaevich Sudakov (1934–2016)
    
    Uspekhi Mat. Nauk, 79:6(480) (2024),  171–178
81. Oleg Georgievich Smolyanov (on his 80th birthday)
    
    Uspekhi Mat. Nauk, 74:4(448) (2019),  191–193
82. Vasilii Vasil'evich Zhikov (obituary)
    
    Uspekhi Mat. Nauk, 73:3(441) (2018),  169–176
83. Студенческие олимпиады мехмата МГУ 2010–2011 гг.
    
    Mat. Pros., Ser. 3, 16 (2012),  214–227
84. Студенческие олимпиады мехмата МГУ
    
    Mat. Pros., Ser. 3, 14 (2010),  225–234
85. Oleg Georgievich Smolyanov (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 64:1(385) (2009),  175–177
86. Студенческие олимпиады и межкафедральный семинар на мехмате Московского государственного университета
    
    Mat. Pros., Ser. 3, 12 (2008),  205–222
87. Letter to the editors
    
    Teor. Veroyatnost. i Primenen., 46:3 (2001),  600
88. Oleg Georgievitch Smolyanov (to 60th anniversary)
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 5,  69–70