Fabrice Baudoin

Applied Mathematics · 2002–2018

A researcher in the Science corpus: 14 papers; trusts 47 researchers and is trusted by 31 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 85 citations into it; #2,348 of 7,620 by trust here, #1,400 by citations
• Mathematical Physics — 48 citations into it; #2,185 of 8,562 by trust here, #5,408 by citations
• Geometry and Topology — 40 citations into it; #2,562 of 7,422 by trust here, #1,677 by citations
• Finance — 32 citations into it; #1,059 of 10,518 by trust here, #2,660 by citations
• Astronomy and Astrophysics — 21 citations into it
• Computational Theory and Mathematics — 19 citations into it
• Economics and Econometrics — 10 citations into it; #5,102 of 23,481 by trust here, #11,468 by citations
• Statistical and Nonlinear Physics — 9 citations into it

Whom Fabrice Baudoin trusts overall

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

1. D. Bakry
2. Andrei A. Agrachev
3. Feng-Yu Wang
4. Michel Bonnefont
5. Alexander Grigorʼyan
6. Michel Ledoux
7. Bernard Helffer
8. Karl‐Theodor Sturm
9. Nicolas Juillet
10. Felix Otto

Who trusts Fabrice Baudoin overall

1. Alexander Schied
2. Davide Barilari
3. Peter K. Friz
4. T. Cass
5. R. Chetrite
6. Martin Hairer
7. Nicola Garofalo
8. Andrei A. Agrachev
9. Michel Bonnefont
10. David Nualart

Papers from Fabrice Baudoin's perspective

Ordered by how strongly the researchers Fabrice Baudoin 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. Surface measures in Carnot-Carathéodory spaces
3. Metric Structures for Riemannian and Non-Riemannian Spaces
4. Hypercontractivity of Hamilton-Jacobi equations
5. Weak Poincaré Inequalities and L2-Convergence Rates of Markov Semigroups
6. Ricci curvature for metric-measure spaces via optimal transport
7. Some Fine Properties of Sets of Finite Perimeter in Ahlfors Regular Metric Measure Spaces
8. Topics in Optimal Transportation
9. An introduction to the geometry of stochastic flows
10. Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians

Their papers

• A version of Hörmander’s theorem for the fractional Brownian motion (2007) — 97 citations
• Equivalence of Volterra processes (2003) — 64 citations
• Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates (2018) — 47 citations
• Sub-Laplacians and hypoelliptic operators on totally geodesic Riemannian foliations (2014) — 64 citations
• On probability laws of solutions to differential systems driven by a fractional Brownian motion (2014) — 54 citations
• Diffusion Processes and Stochastic Calculus (2014) — 50 citations
• Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality (2011) — 80 citations
• Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries (2011) — 215 citations
• The subelliptic heat kernel on the CR sphere (2011) — 50 citations
• A sub-Riemannian curvature-dimension inequality, volume doubling property and the Poincaré inequality (2010) — 102 citations
• The subelliptic heat kernel on SU(2): representations, asymptotics and gradient bounds (2008) — 117 citations
• On gradient bounds for the heat kernel on the Heisenberg group (2007) — 116 citations
• An introduction to the geometry of stochastic flows (2004) — 169 citations
• Conditioned stochastic differential equations: theory, examples and application to finance (2002) — 101 citations