Andrei A. Agrachev

Applied Mathematics · 2001–2019

A researcher in the Science corpus: 16 papers; trusts 32 researchers and is trusted by 34 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 85 citations into it; #737 of 7,620 by trust here, #546 by citations
• Geometry and Topology — 53 citations into it; #453 of 7,422 by trust here, #378 by citations
• Astronomy and Astrophysics — 29 citations into it; #2,459 of 10,964 by trust here, #6,464 by citations
• Computational Theory and Mathematics — 26 citations into it
• Mathematical Physics — 22 citations into it; #1,295 of 8,562 by trust here, #1,838 by citations
• Statistical and Nonlinear Physics — 12 citations into it; #3,496 of 10,127 by trust here, #8,564 by citations
• Control and Systems Engineering — 8 citations into it; #909 of 8,257 by trust here, #1,190 by citations

Whom Andrei A. Agrachev trusts overall

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

1. Davide Barilari
2. Richard Montgomery
3. Ludovic Rifford
4. Igor Zelenko
5. Ugo V. Boscain
6. Robert J. McCann
7. Cédric Villani
8. Nicolas Juillet
9. Yuri L. Sachkov
10. Richard Bellman

Who trusts Andrei A. Agrachev overall

1. Davide Barilari
2. Ugo V. Boscain
3. Fabrice Baudoin
4. L. Rizzi
5. Igor Zelenko
6. Benoît Bonnet
7. Nicola Garofalo
8. Hai Lin
9. Emmanuel Trélat
10. Paul W. Y. Lee

Papers from Andrei A. Agrachev's perspective

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

1. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
2. Topics in Optimal Transportation
3. Ricci curvature for metric-measure spaces via optimal transport
4. Polar factorization of maps on Riemannian manifolds
5. A Convexity Principle for Interacting Gases
6. Surface measures in Carnot-Carathéodory spaces
7. Control Theory from the Geometric Viewpoint
8. Mathematical Theory of Optimal Processes
9. An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
10. Geometry of Optimal Control Problems and Hamiltonian Systems

Their papers

• A Comprehensive Introduction to Sub-Riemannian Geometry (2019) — 429 citations
• Sub-Riemannian Curvature in Contact Geometry (2015) — 68 citations
• Curvature: A Variational Approach (2013) — 103 citations
• Introduction to Riemannian and Sub-Riemannian geometry (2012) — 212 citations
• Sub-Riemannian structures on 3D lie groups (2010) — 151 citations
• On the Hausdorff volume in sub-Riemannian geometry (2010) — 114 citations
• Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds (2009) — 98 citations
• Any sub-Riemannian metric has points of smoothness (2008) — 103 citations
• The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups (2008) — 187 citations
• Optimal transportation under nonholonomic constraints (2007) — 92 citations
• A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds (2006) — 123 citations
• Geometry of Optimal Control Problems and Hamiltonian Systems (2005) — 64 citations
• Control Theory from the Geometric Viewpoint (2004) — 1,541 citations
• Geometry of Jacobi Curves. I (2002) — 87 citations
• Lie-Algebraic Stability Criteria for Switched Systems (2001) — 334 citations
• ON THE SUBANALYTICITY OF CARNOT-CARATHEODORY DISTANCES (2001) — 64 citations