Davide Barilari

Applied Mathematics · 2010–2019

A researcher in the Science corpus: 11 papers; trusts 32 researchers and is trusted by 7 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 104 citations into it; #2,007 of 7,620 by trust here, #1,356 by citations
• Geometry and Topology — 81 citations into it; #5,543 of 7,422 by trust here, #4,440 by citations
• Astronomy and Astrophysics — 45 citations into it; #8,773 of 10,964 by trust here, #9,840 by citations
• Mathematical Physics — 27 citations into it; #2,876 of 8,562 by trust here, #3,335 by citations
• Computational Theory and Mathematics — 24 citations into it; #5,341 of 12,182 by trust here, #8,756 by citations
• Control and Systems Engineering — 17 citations into it
• Statistical and Nonlinear Physics — 13 citations into it
• Aerospace Engineering — 8 citations into it

Whom Davide Barilari trusts overall

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

1. Andrei A. Agrachev
2. Richard Montgomery
3. Fabrice Baudoin
4. Ugo V. Boscain
5. Karl‐Theodor Sturm
6. Nicolas Juillet
7. Ludovic Rifford
8. S. Varadhan
9. L. Rizzi
10. Jean-Paul André Gauthier

Who trusts Davide Barilari overall

1. Andrei A. Agrachev
2. L. Rizzi
3. Ugo V. Boscain
4. Enrico Le Donne
5. Fabrice Baudoin

Papers from Davide Barilari's perspective

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

1. Surface measures in Carnot-Carathéodory spaces
2. Control Theory from the Geometric Viewpoint
3. Geometry of Optimal Control Problems and Hamiltonian Systems
4. Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry
5. Geometric Measure Theory
6. An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
7. Mathematical Theory of Optimal Processes
8. A Morse-Sard theorem for the distance function on Riemannian manifolds
9. The Mathematical Theory of Optimal Processes
10. Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric

Their papers

• Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry (2011) — 67 citations
• A Comprehensive Introduction to Sub-Riemannian Geometry (2019) — 429 citations
• On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures (2018) — 50 citations
• Sub-Riemannian interpolation inequalities (2017) — 49 citations
• Sub-Riemannian Curvature in Contact Geometry (2015) — 68 citations
• Curvature: A Variational Approach (2013) — 103 citations
• A Formula for Popp’s Volume in Sub-Riemannian Geometry (2012) — 102 citations
• Introduction to Riemannian and Sub-Riemannian geometry (2012) — 212 citations
• Small time heat kernel asymptotics at the sub-Riemannian cut locus (2012) — 91 citations
• Sub-Riemannian structures on 3D lie groups (2010) — 151 citations
• On the Hausdorff volume in sub-Riemannian geometry (2010) — 114 citations