Research output per year
Research output per year
Personal profile
Research
My research explores how stochastic methods can be used to understand geometric and analytic structures. I focus on using techniques from diffusion processes, particularly heat kernels, to derive functional inequalities on Lie groups, manifolds, and fractal spaces. These inequalities often offer fresh perspectives, allowing us to define novel notions of curvature bounds. Additionally, I am interested in calculating the exact probability distributions for functionals arising from Brownian motion on homogeneous spaces or matrix spaces.
Teaching
I have been teaching a variety of undergraduate, graduate and topics courses over the years. Some of the lecture notes are posted on my blog
https://fabricebaudoin.blog
Areas of expertise
- Stochastic analysis
- Differential geometry
- Dirichlet forms
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Collaborations and top research areas from the last five years
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Comparison theorems on H-type sub-Riemannian manifolds
Baudoin, F., Grong, E., Rizzi, L. & Vega-Molino, S., Jun 2025, In: Calculus of Variations and Partial Differential Equations. 64, 5, 143.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Open Access -
Convergence to equilibrium for hypoelliptic non-symmetric Ornstein-Uhlenbeck-type operators
Baudoin, F., Bonnefont, M. & Chen, L., 2025, New Trends in Sub-Riemannian Geometry - AMS-EMS-SMF Special Session Sub-Riemannian Geometry and Interactions, 2022. Baudoin, F. & Rizzi, L. (eds.). American Mathematical Society, p. 103-122 20 p. (Contemporary Mathematics, Vol. 809).Research output: Contribution to book/anthology/report/proceeding › Article in proceedings › Research › peer-review
Open Access -
Functional inequalities for a family of infinite-dimensional diffusions with degenerate noise
Baudoin, F., Gordina, M., Herzog, D. P., Kim, J. & Melcher, T., Mar 2025, In: Journal of Functional Analysis. 288, 6, 110814.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
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Holonomy of H-type foliations
Baudoin, F. & Vega-Molino, S., 2025, New Trends in Sub-Riemannian Geometry - AMS-EMS-SMF Special Session Sub-Riemannian Geometry and Interactions, 2022. Baudoin, F. & Rizzi, L. (eds.). American Mathematical Society, p. 49-58 10 p. (Contemporary Mathematics, Vol. 809).Research output: Contribution to book/anthology/report/proceeding › Article in proceedings › Research › peer-review
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Korevaar–Schoen p-energies and their Γ-limits on Cheeger spaces
Alonso Ruiz, P. & Baudoin, F., Jul 2025, In: Nonlinear Analysis: Theory, Methods & Applications. 256, 22 p., 113779.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Open Access