Research output per year
Research output per year
Personal profile
Research
My research areas are harmonic analysis, probability and (stochastic) partial differential equations. The main focus of my study is to investigate how functional and probabilistic techniques can be applied and extended to gain a better understanding of the interaction between the randomness and the analytic and geometric structures in a variety of smooth or rough environments. More specifically, my current research revolves around applications of heat semigroups and heat kernels.
Areas of expertise
- Harmonic analysis
- PDEs
- Stochastic analysis
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Collaborations and top research areas from the last five years
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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 -
Weighted Besov spaces on Heisenberg groups and applications to the Parabolic Anderson model
Baudoin, F., Chen, L., Huang, C.-H., Ouyang, C., Tindel, S. & Wang, J., 8 Jan 2025, ArXiv.Research output: Working paper/Preprint › Preprint
Open AccessFile7 Downloads (Pure) -
Heat kernel gradient estimates for the Vicsek set
Baudoin, F. & Chen, L., Dec 2024, In: Mathematische Nachrichten. 297, 12, p. 4450-4477 28 p.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Open Access -
Parabolic Anderson model in bounded domains of recurrent metric measure spaces
Baudoin, F., Chen, L., Huang, C.-H., Ouyang, C., Tindel, S. & Wang, J., 3 Jan 2024.Research output: Working paper/Preprint › Preprint
File17 Downloads (Pure) -
BV functions and fractional Laplacians on Dirichlet spaces
Ruiz, P. A., Baudoin, F., Chen, L., Rogers, L., Shanmugalingam, N. & Teplyaev, A., 2023, In: Asian Journal of Mathematics. 27, 4, p. 441-466 26 p., 001.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review