Vladimir Bogachev

Applied Mathematics · 2001–2018

A researcher in the Science corpus: 16 papers; trusts 27 researchers and is trusted by 24 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 113 citations into it; #1,401 of 7,620 by trust here, #835 by citations
• Geometry and Topology — 38 citations into it; #4,637 of 7,422 by trust here, #4,440 by citations
• Mathematical Physics — 32 citations into it; #1,556 of 8,562 by trust here, #1,475 by citations
• Computational Theory and Mathematics — 31 citations into it; #1,602 of 12,182 by trust here, #1,851 by citations
• Finance — 31 citations into it; #2,232 of 10,518 by trust here, #3,760 by citations
• Statistics and Probability — 11 citations into it
• Astronomy and Astrophysics — 9 citations into it
• Numerical Analysis — 9 citations into it

Whom Vladimir Bogachev trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Michael Röckner
2. Nicolai V. Krylov
3. Giuseppe Da Prato
4. Luis Escauriaza
5. Robert J. McCann
6. Dario Cordero-Erausquin
7. Luigi Ambrosio
8. Cédric Villani
9. Alessio Figalli
10. Feng-Yu Wang

Who trusts Vladimir Bogachev overall

1. Michael Röckner
2. Giuseppe Da Prato
3. Nicolai V. Krylov
4. Andreas J. Winter
5. Xiang-Dong Li
6. Wen Huang
7. Franco Flandoli
8. Dario Trevisan
9. Filippo Santambrogio
10. Anatolii A. Puhalskii

Papers from Vladimir Bogachev's perspective

Ordered by how strongly the researchers Vladimir Bogachev trusts endorse each paper. Same corpus, a different order for every researcher.

1. Topics in Optimal Transportation
2. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
3. A Convexity Principle for Interacting Gases
4. Elliptic equations for invariant measures on finite and infinite dimensional manifolds
5. A Generalization of Khasminskii's Theorem on the Existence of Invariant Measures for Locally Integrable Drifts
6. Functional Inequalities for Empty Essential Spectrum
7. ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS
8. Existence and uniqueness of monotone measure-preserving maps
9. Lyapunov conditions for Super Poincaré inequalities
10. Elliptic equations for measures on infinite dimensional spaces and applications

Their papers

• ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS (2001) — 263 citations
• Elliptic equations for measures on infinite dimensional spaces and applications (2001) — 58 citations
• A Generalization of Khasminskii's Theorem on the Existence of Invariant Measures for Locally Integrable Drifts (2001) — 71 citations
• Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions (2002) — 61 citations
• On Parabolic Equations for Measures (2008) — 64 citations
• Uniqueness of solutions to weak parabolic equations for measures (2007) — 54 citations
• Elliptic and parabolic equations for measures (2009) — 135 citations
• Weak convergence of measures on ℝ^{𝕕} (2018) — 101 citations
• Topological Vector Spaces and Their Applications (2017) — 102 citations
• Distances between transition probabilities of diffusions and applications to nonlinear Fokker–Planck–Kolmogorov equations (2016) — 61 citations
• Fokker-planck-kolmogorov Equations (2015) — 376 citations
• The Monge-Kantorovich problem: achievements, connections, and perspectives (2012) — 223 citations
• Differentiable measures and the Malliavin calculus (2010) — 298 citations
• Existence and uniqueness of solutions for Fokker–Planck equations on Hilbert spaces (2009) — 49 citations
• Triangular transformations of measures (2005) — 139 citations
• Elliptic equations for invariant measures on finite and infinite dimensional manifolds (2001) — 55 citations