2026 Vladimir I. Bogachev: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	35	2773	2479	22	16	280	5263

Overview

Vladimir I. Bogachev is affiliated with the National Research University Higher School of Economics in the Russian Federation. The primary area of research is mathematics, with a focus on several subfields and topics related to advanced mathematical theories and applications.

The scientist's main fields of study and related subfields include:

Mathematics
Mathematical Physics
Applied Mathematics
Geometry and Topology
Finance
Computational Theory and Mathematics

The major topics addressed in the work are:

Advanced mathematical theories
Spectral Theory in Mathematical Physics
Stochastic processes and financial applications
Geometric Analysis and Curvature Flows
Nonlinear Partial Differential Equations
Advanced Mathematical Modeling in Engineering
Differential Equations and Boundary Problems

Recent papers authored by Vladimir I. Bogachev include:

Kantorovich problem of optimal transportation of measures: new directions of research, 2022, Russian Mathematical Surveys
Zvonkin's transform and the regularity of solutions to double divergence form elliptic equations, 2022, Communications in Partial Differential Equations
Задача Канторовича оптимальной транспортировки мер: новые направления исследований, 2022, Успехи математических наук
Kolmogorov Problems on Equations for Stationary and Transition Probabilities of Diffusion Processes, 2023, Theory of Probability and Its Applications
On uniqueness of probability solutions of the Fokker-Planck-Kolmogorov equation, 2021, Sbornik Mathematics

Frequent co-authors in collaboration with Vladimir I. Bogachev include:

С. В. Шапошников
O. G. Smolyanov
Michael Röckner
S. N. Popova
Т. И. Красовицкий

Publication venues where the scientist has frequently published are:

Doklady Mathematics
arXiv (Cornell University)
Успехи математических наук
Доклады Российской академии наук Математика информатика процессы управления
Russian Mathematical Surveys

Vladimir I. Bogachev has also contributed to book publications, notably:

Real and Functional Analysis, published by Springer International Publishing in 2020

Best Publications

Fokker-planck-kolmogorov Equations

Vladimir Bogachev;Nicolai Krylov;Michael Röckner;Stanislav Shaposhnikov

394
Citations
ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS

V. I. Bogachev;Nicolai V Krylov;M. Röckner

316
Citations
Differentiable Measures and the Malliavin Calculus

Vladimir I. Bogachev

266
Citations
The Monge-Kantorovich problem: achievements, connections, and perspectives

Vladimir I Bogachev;Aleksandr V Kolesnikov

221
Citations
Regularity of Invariant Measures on Finite and Infinite Dimensional Spaces and Applications

V.I. Bogachev;M. Rockner

152
Citations
Elliptic and parabolic equations for measures

Vladimir I Bogachev;Nikolai V Krylov;Michael Röckner

140
Citations
Triangular transformations of measures

V I Bogachev;A V Kolesnikov;K V Medvedev

139
Citations
Generalized Mehler semigroups and applications

Vladimir I. Bogachev;Michael Röckner;Byron Schmuland

137
Citations
Weak Convergence of Measures

Vladimir I. Bogachev;Vladimir I. Bogachev

124
Citations
Topological Vector Spaces and Their Applications

V.I. Bogachev;O.G. Smolyanov

122
Citations
Analytic properties of infinite-dimensional distributions

V I Bogachëv;O G Smolyanov

106
Citations
A Generalization of Khasminskii's Theorem on the Existence of Invariant Measures for Locally Integrable Drifts

V. Bogachev;M. Röckner

100
Citations
ON UNIQUENESS OF INVARIANT MEASURES FOR FINITE- AND INFINITE-DIMENSIONAL DIFFUSIONS

S. Albeverio;V. Bogachev;M. Röckner

95
Citations
On Parabolic Equations for Measures

V. I. Bogachev;G. Da Prato;M. Röckner

87
Citations
Regularity of Invariant Measures: The Case of Non-constant Diffusion Part

V.I. Bogachev;N. Krylov;M. Röckner

81
Citations
Uniqueness of solutions to weak parabolic equations for measures

V. I. Bogachev;G. Da Prato;M. Röckner;W. Stannat

80
Citations
Elliptic equations for measures on infinite dimensional spaces and applications

Vladimir I. Bogachev;Michael Röckner

77
Citations
Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions

V I Bogachev;M Rockner;W Stannat

76
Citations
Elliptic equations for invariant measures on finite and infinite dimensional manifolds

Vladimir I. Bogachev;Michael Röckner;Feng-Yu Wang

73
Citations
Elliptic regularity and essential self-adjointness of Dirichlet operators on $\mathbb {R}^n$

Vladimir I. Bogachev;Nicolai V. Krylov;Michael Röckner

71
Citations
Real and Functional Analysis

Vladimir I. Bogachev;Oleg G. Smolyanov

43
Citations

Frequent Co-Authors

Michael Röckner Bielefeld University

Nicolai V Krylov University of Minnesota

Giuseppe Da Prato Scuola Normale Superiore di Pisa

Feng-Yu Wang Tianjin University

Luigi Accardi University of Rome Tor Vergata

Ivan Nourdin University of Luxembourg

Andrei Khrennikov Linnaeus University

Viorel Barbu Alexandru Ioan Cuza University

Andrey Piatnitski University of Tromsø - The Arctic University of Norway

Arno B. J. Kuijlaars KU Leuven

External Links

Personal website of Vladimir I. Bogachev

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