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Bogachev Vladimir Igorevich

Publications in Math-Net.Ru

  1. Convergence of measures in the Kantorovich metric and approximation of Gaussian measures

    Sibirsk. Mat. Zh., 67:2 (2026),  197–212
  2. Weak convergence of measures on infinite dimensional spaces with the weak topology

    Teor. Veroyatnost. i Primenen., 71:2 (2026),  217–233
  3. On uniquely solvable Fokker–Planck–Kolmogorov equations

    Izv. RAN. Ser. Mat., 89:5 (2025),  32–53
  4. Regularity of solutions to Fokker–Planck–Kolmogorov equations

    Uspekhi Mat. Nauk, 80:6(486) (2025),  3–44
  5. Spaces of measure-valued mappings connected with disintegrations

    Sibirsk. Mat. Zh., 66:2 (2025),  147–164
  6. Integration of Functions with Values in Spaces of Measures

    Trudy Mat. Inst. Steklova, 331 (2025),  7–34
  7. Research activity on the Chair of Theory of Functions and Functional Analysis

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 1,  39–50
  8. Compactification of spaces of measures and pseudocompactness

    Dokl. RAN. Math. Inf. Proc. Upr., 518 (2024),  75–79
  9. On reconstruction of Kolmogorov operators with discontinuous coefficients

    Dokl. RAN. Math. Inf. Proc. Upr., 516 (2024),  5–8
  10. On compactification of spaces of measures

    Funktsional. Anal. i Prilozhen., 58:1 (2024),  4–21
  11. On dependence of solutions to Fokker–Planck–Kolmogorov equations on their coefficients and initial data

    Mat. Zametki, 116:3 (2024),  421–431
  12. Nonlinear Fokker–Planck–Kolmogorov equations

    Uspekhi Mat. Nauk, 79:5(479) (2024),  3–60
  13. Hausdorff distances between couplings and optimal transportation

    Mat. Sb., 215:1 (2024),  33–58
  14. Kolmogorov equations for degenerate Ornstein–Uhlenbeck operators

    Sibirsk. Mat. Zh., 65:1 (2024),  27–37
  15. The Fokker–Planck–Kolmogorov equation with nonlinear terms of local and types

    Algebra i Analiz, 35:5 (2023),  11–38
  16. Fokker–Planck–Kolmogorov equations with a parameter

    Dokl. RAN. Math. Inf. Proc. Upr., 513 (2023),  21–26
  17. On Radon barycenters of measures on spaces of measures

    Bulletin of Irkutsk State University. Series Mathematics, 44 (2023),  19–30
  18. Regularity of solutions to Kolmogorov equations with perturbed drifts

    Potential Anal., 58 (2023),  681–702
  19. On nonlinear Kantorovich problems with density constraints

    Mosc. Math. J., 23:3 (2023),  285–307
  20. Sobolev and Besov Classes on Infinite-Dimensional Spaces

    Trudy Mat. Inst. Steklova, 323 (2023),  65–86
  21. Kolmogorov problems on equations for stationary and transition probabilities of diffusion processes

    Teor. Veroyatnost. i Primenen., 68:3 (2023),  420–455
  22. Sobolev–Kantorovich inequalities under $CD(0,\infty)$ condition

    Commun. Contemp. Math., 24:5 (2022),  2150027–27
  23. On Kantorovich problems with a parameter

    Dokl. RAN. Math. Inf. Proc. Upr., 507 (2022),  26–28
  24. Applications of Zvonkin's transform to stationary Kolmogorov equations

    Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022),  20–24
  25. Pointwise Conditions for Membership of Functions in Weighted Sobolev Classes

    Funktsional. Anal. i Prilozhen., 56:2 (2022),  10–28
  26. Nonlinear Kantorovich problems with a parameter

    Bulletin of Irkutsk State University. Series Mathematics, 41 (2022),  96–106
  27. Existence of Solutions to the Nonlinear Kantorovich Transportation Problem

    Mat. Zametki, 112:3 (2022),  360–370
  28. Kantorovich problem of optimal transportation of measures: new directions of research

    Uspekhi Mat. Nauk, 77:5(467) (2022),  3–52
  29. Kantorovich problems with a parameter and density constraints

    Sibirsk. Mat. Zh., 63:1 (2022),  42–57
  30. 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
  31. On Gaussian transition operators

    Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021),  10–15
  32. 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
  33. On approximation of measures by their finite-dimensional images

    Funktsional. Anal. i Prilozhen., 55:3 (2021),  75–81
  34. On distributions of homogeneous and convex functions in Gaussian random variables

    Izv. RAN. Ser. Mat., 85:5 (2021),  25–57
  35. The Kantorovich Problem with a Parameter and Density Constraints

    Mat. Zametki, 110:6 (2021),  922–926
  36. On Sequential Properties of Spaces of Measures

    Mat. Zametki, 110:3 (2021),  459–464
  37. On uniqueness of probability solutions of the Fokker-Planck-Kolmogorov equation

    Mat. Sb., 212:6 (2021),  3–42
  38. Chebyshev–Hermite polynomials and distributions of polynomials in Gaussian random variables

    Teor. Veroyatnost. i Primenen., 66:4 (2021),  693–717
  39. The Kolmogorov problem on uniqueness of probability solutions of a parabolic equation

    Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020),  22–25
  40. Densities of distributions of homogeneous functions of Gaussian random vectors

    Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020),  17–21
  41. Non-uniform Kozlov–Treschev averagings in the ergodic theorem

    Uspekhi Mat. Nauk, 75:3(453) (2020),  3–36
  42. Approximations of Nonlinear Integral Functionals of Entropy Type

    Trudy Mat. Inst. Steklova, 310 (2020),  7–18
  43. A new approach to Nikolskii–Besov classes

    Mosc. Math. J., 19:4 (2019),  619–654
  44. Ornstein–Uhlenbeck operators and semigroups

    Uspekhi Mat. Nauk, 73:2(440) (2018),  3–74
  45. Distances between stationary distributions of diffusions and solvability of nonlinear Fokker–Planck–Kolmogorov equations

    Teor. Veroyatnost. i Primenen., 62:1 (2017),  16–43
  46. On the equality of values in the Monge and Kantorovich problems

    Zap. Nauchn. Sem. POMI, 457 (2017),  53–73
  47. Distributions of polynomials on multidimensional and infinite-dimensional spaces with measures

    Uspekhi Mat. Nauk, 71:4(430) (2016),  107–154
  48. On weak convergence of finite-dimensional and infinite-dimensional distributions of random processes

    Theory Stoch. Process., 21(37):1 (2016),  1–11
  49. The Kantorovich and variation distances between invariant measures of diffusions and nonlinear stationary Fokker–Planck–Kolmogorov equations

    Mat. Zametki, 96:5 (2014),  855–863
  50. Two properties of vectors of quadratic forms of Gaussian random variables

    Teor. Veroyatnost. i Primenen., 59:2 (2014),  214–232
  51. The Monge–Kantorovich problem: achievements, connections, and perspectives

    Uspekhi Mat. Nauk, 67:5(407) (2012),  3–110
  52. О многочленах от гауссовских случайных величин

    Teor. Veroyatnost. i Primenen., 55:3 (2010),  611
  53. Lower estimates of densities of solutions of elliptic equations for measures

    Dokl. Akad. Nauk, 426:2 (2009),  156–161
  54. Elliptic and parabolic equations for measures

    Uspekhi Mat. Nauk, 64:6(390) (2009),  5–116
  55. Positive Densities of Transition Probabilities of Diffusion Processes

    Teor. Veroyatnost. i Primenen., 53:2 (2008),  213–239
  56. Estimates of densities of stationary distributions and transition probabilities of diffusion processes

    Teor. Veroyatnost. i Primenen., 52:2 (2007),  240–270
  57. 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
  58. Triangular transformations of measures

    Mat. Sb., 196:3 (2005),  3–30
  59. Global regularity and estimates for solutions of parabolic equations

    Teor. Veroyatnost. i Primenen., 50:4 (2005),  652–674
  60. Integrability of absolutely continuous measure transformations and applications to optimal transportation

    Teor. Veroyatnost. i Primenen., 50:3 (2005),  433–456
  61. Nonlinear transformations of convex measures

    Teor. Veroyatnost. i Primenen., 50:1 (2005),  27–51
  62. On $L^p$-uniqueness of symmetric diffusion operators on Riemannian manifolds

    Mat. Sb., 194:7 (2003),  15–24
  63. Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions

    Mat. Sb., 193:7 (2002),  3–36
  64. Topological spaces with Prokhorov and Skorokhod properties

    Dokl. Akad. Nauk, 380:6 (2001),  727–730
  65. Open Mappings of Probability Measures and the Skorokhod Representation Theorem

    Teor. Veroyatnost. i Primenen., 46:1 (2001),  3–27
  66. 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
  67. On the convergence of induced measures in variation

    Mat. Sb., 190:9 (1999),  3–20
  68. On the small balls problem for equivalent Gaussian measures

    Mat. Sb., 189:5 (1998),  47–68
  69. Onsager–Machlup functions for Gaussian measures

    Dokl. Akad. Nauk, 344:4 (1995),  439–441
  70. Functionals of random processes and infinite-dimensional oscillatory integrals connected with them

    Izv. RAN. Ser. Mat., 56:2 (1992),  243–278
  71. Distributions of analytic functionals of random processes

    Dokl. Akad. Nauk SSSR, 312:6 (1990),  1291–1296
  72. Analytic properties of infinite-dimensional distributions

    Uspekhi Mat. Nauk, 45:3(273) (1990),  3–83
  73. A polynomial diffeomorphism of a ball without invariant measures

    Funktsional. Anal. i Prilozhen., 23:4 (1989),  75–76
  74. Subspaces of the differentiability of smooth measures on infinite-dimensional spaces

    Dokl. Akad. Nauk SSSR, 299:1 (1988),  18–22
  75. Differentiable and Lipschitzian mappings of Banach spaces

    Mat. Zametki, 44:5 (1988),  567–583
  76. On Skorokhod's Differentiability of Measures

    Teor. Veroyatnost. i Primenen., 33:2 (1988),  349–354
  77. The asymmetry indices of stable measures

    Mat. Zametki, 40:1 (1986),  127–138
  78. Locally convex spaces with the CLT property and supports of measures

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1986, no. 6,  16–20
  79. Some results on differentiable measures

    Mat. Sb. (N.S.), 127(169):3(7) (1985),  336–351
  80. Three problems of aronszajn in measure theory

    Funktsional. Anal. i Prilozhen., 18:3 (1984),  75–76
  81. Full access to content Negligible sets in locally convex spaces

    Mat. Zametki, 36:1 (1984),  51–64
  82. Negligible sets and differentiable measures in Banach spaces

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 3,  47–52

  83. On the 90th anniversary of the birth of Vladimir Nikolaevich Sudakov (1934–2016)

    Uspekhi Mat. Nauk, 79:6(480) (2024),  171–178
  84. Oleg Georgievich Smolyanov (on his 80th birthday)

    Uspekhi Mat. Nauk, 74:4(448) (2019),  191–193
  85. Vasilii Vasil'evich Zhikov (obituary)

    Uspekhi Mat. Nauk, 73:3(441) (2018),  169–176
  86. Студенческие олимпиады мехмата МГУ 2010–2011 гг.

    Mat. Pros., Ser. 3, 16 (2012),  214–227
  87. Студенческие олимпиады мехмата МГУ

    Mat. Pros., Ser. 3, 14 (2010),  225–234
  88. Oleg Georgievich Smolyanov (on his 70th birthday)

    Uspekhi Mat. Nauk, 64:1(385) (2009),  175–177
  89. Студенческие олимпиады и межкафедральный семинар на мехмате Московского государственного университета

    Mat. Pros., Ser. 3, 12 (2008),  205–222
  90. Letter to the editors

    Teor. Veroyatnost. i Primenen., 46:3 (2001),  600
  91. Oleg Georgievitch Smolyanov (to 60th anniversary)

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 5,  69–70

© Steklov Math. Inst. of RAS, 2026