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Baudoin, F., Grong, E., Neel, R. & Thalmaier, A. (2022). Variations of the sub-Riemannian distance on Sasakian manifolds with applications to coupling. ArXiv.
Baudoin, F., Demni, N. & Wang, J. (2022). Stochastic areas, Horizontal Brownian Motions, and Hypoelliptic Heat Kernels.
Baudoin, F. & Chen, L. (2023). Heat kernel gradient estimates for the Vicsek set.
Baudoin, F. (2022). Korevaar-Schoen-Sobolev spaces and critical exponents in metric measure spaces. https://doi.org/10.48550/arXiv.2207.12191
Baudoin, F., Gordina, M., Herzog, D., Kim, J. & Melcher, T. (2023). Functional inequalities for a family of infinite-dimensional diffusions with degenerate noise.
Baudoin, F. & Lacaux, C. (2024). Fractional stable random fields on the Sierpiński gasket. https://doi.org/10.1016/j.spa.2024.104481
Baudoin, F. & Tardif, C. (2018). Hypocoercive estimates on foliations and velocity spherical Brownian motion. Kinetic and Related Models, 11(1), 1-23. https://doi.org/10.3934/KRM.2018001
Baudoin, F., Feng, Q. & Ouyang, C. (2020). DENSITY of the SIGNATURE PROCESS of FBM. Transactions of the American Mathematical Society, 373(12), 8583-8610. https://doi.org/10.1090/tran/8165
Baudoin, F. (2021). Heat flow and sets of finite perimeter. Notices of the American Mathematical Society, 68(4), 582-583. https://doi.org/10.1090/noti2257
Baudoin, F. & Coutin, L. (2007). Operators associated with a stochastic differential equation driven by fractional Brownian motions. Stochastic Processes and Their Applications, 117(5), 550-574. https://doi.org/10.1016/j.spa.2006.09.004
Baudoin, F. & Teichmann, J. (2005). Hypoellipticity in infinite dimensions and an application in interest rate theory. Annals of Applied Probability, 15(3), 1765-1777. https://doi.org/10.1214/105051605000000214
Baudoin, F., Gordina, M. & Mariano, P. (2020). Gradient bounds for Kolmogorov type diffusions. Annales de l'institut Henri Poincare (B) Probability and Statistics, 56(1), 612-636. https://doi.org/10.1214/19-AIHP975
Baudoin, F., Bonnefont, M. & Garofalo, N. (2014). A sub-Riemannian curvature-dimension inequality, volume doubling property and the Poincaré inequality. Mathematische Annalen, 358(3-4), 833-860. https://doi.org/10.1007/s00208-013-0961-y
Baudoin, F., Demni, N. & Wang, J. (2021). Quaternionic stochastic areas. Stochastic Processes and Their Applications, 131, 311-339. https://doi.org/10.1016/j.spa.2020.09.002
Baudoin, F., Demni, N. & Wang, J. (2020). The Horizontal Heat Kernel on the Quaternionic Anti-De Sitter Spaces and Related Twistor Spaces. Potential Analysis, 52(2), 281-300. https://doi.org/10.1007/s11118-018-9746-y
Baudoin, F. & Bonnefont, M. (2015). Curvature-dimension estimates for the Laplace-Beltrami operator of a totally geodesic foliation. Nonlinear Analysis: Theory, Methods & Applications, 126, 159-169. Article 10576. https://doi.org/10.1016/j.na.2015.06.025
Baudoin, F. & Bonnefont, M. (2009). The subelliptic heat kernel on SU(2): Representations, asymptotics and gradient bounds. Mathematische Zeitschrift, 263(3), 647-672. https://doi.org/10.1007/s00209-008-0436-0
Baudoin, F., Grong, E., Kuwada, K., Neel, R. & Thalmaier, A. (2020). Radial processes for sub-riemannian brownian motions and applications. Electronic Journal of Probability, 25, 1-7. Article 97. https://doi.org/10.1214/20-EJP501
Baudoin, F. & Garofalo, N. (2013). A note on the boundedness of riesz transform for some subelliptic operators. International Mathematics Research Notices, 2013(2), 398-421. https://doi.org/10.1093/imrn/rnr271
Baudoin, F. & Cho, G. (2021). The subelliptic heat kernel of the octonionic anti-de sitter fibration. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 17, Article 014. https://doi.org/10.3842/SIGMA.2021.014
Baudoin, F. (2004). Conditioning and initial enlargement of filtration on a Riemannian manifold. Annals of Probability, 32(3 A), 2286-2303. https://doi.org/10.1214/009117904000000126
Baudoin, F. & Bonnefont, M. (2013). Sub-Riemannian balls in CR Sasakian manifolds. Proceedings of the American Mathematical Society, 141(11), 3919-3924. https://doi.org/10.1090/S0002-9939-2013-11783-1
Baudoin, F. & Eldredge, N. (2021). Transportation inequalities for markov kernels and their applications. Electronic Journal of Probability, 26, Article 45. https://doi.org/10.1214/21-EJP605
Baudoin, F. (2017). Bakry–Émery meet Villani. Journal of Functional Analysis, 273(7), 2275-2291. https://doi.org/10.1016/j.jfa.2017.06.021
Baudoin, F. & Thieullen, M. (2003). Pinning class of the Wiener measure by a functional: Related martingales and invariance properties. Probability Theory and Related Fields, 127(1), 1-36. https://doi.org/10.1007/s00440-003-0280-4
Baudoin, F., Nualart, E., Ouyang, C. & Tindel, S. (2016). On probability laws of solutions to differential systems driven by a fractional Brownian motion. Annals of Probability, 44(4), 2554-2590. https://doi.org/10.1214/15-AOP1028
Baudoin, F., Gordina, M. & Melcher, T. (2013). Quasi-invariance for heat kernel measures on sub-riemannian infinite-dimensional heisenberg groups. Transactions of the American Mathematical Society, 365(8), 4313-4350. https://doi.org/10.1090/S0002-9947-2012-05778-3
Baudoin, F. & Wang, J. (2017). Stochastic areas, winding numbers and Hopf fibrations. Probability Theory and Related Fields, 169(3-4), 977-1005. https://doi.org/10.1007/s00440-016-0745-x
Baudoin, F., Demni, N. & Wang, J. (2021). Quaternionic Brownian Windings. Journal of Theoretical Probability, 34(4), 2368-2385. https://doi.org/10.1007/s10959-020-01034-9
Baudoin, F. & Ouyang, C. (2015). On small time asymptotics for rough differential equations driven by fractional brownian motions. In P. K. Friz, J. Gatheral, A. Gulisashvili, J. Teichmann, P. K. Friz & A. Jacquier (Eds.), Large Deviations and Asymptotic Methods in Finance (pp. 413-438). Springer. https://doi.org/10.1007/978-3-319-11605-1_14
Baudoin, F. & Nualart, D. (2006). Notes on the two-dimensional fractional Brownian motion. Annals of Probability, 34(1), 159-180. https://doi.org/10.1214/009117905000000288
Baudoin, F., Gordina, M. & Mariano, P. (2019). On the Cheng-Yau gradient estimate for carnot groups and sub-Riemannian manifolds. Proceedings of the American Mathematical Society, 147(7), 3181-3189. https://doi.org/10.1090/proc/14451
Baudoin, F. & Garofalo, N. (2017). Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries. Journal of the European Mathematical Society, 19(1), 151-219. https://doi.org/10.4171/JEMS/663
Baudoin, F. & Cho, G. (2021). The Subelliptic Heat Kernel of the Octonionic Hopf Fibration. Potential Analysis, 55(2), 211-228. https://doi.org/10.1007/s11118-020-09854-4
Baudoin, F. (2017). Stochastic analysis on Sub-Riemannian manifolds with transverse symmetries. Annals of Probability, 45(1), 56-81. https://doi.org/10.1214/14-AOP964
Baudoin, F. (2012). Stochastic taylor expansions and heat kernel asymptotics. ESAIM - Probability and Statistics, 16, 453-478. https://doi.org/10.1051/ps/2011107
Baudoin, F. (2002). Further exponential generalization of Pitman’s 2M−X theorem. Electronic Communications in Probability, 7, 37-46. https://doi.org/10.1214/ECP.v7-1045
Baudoin, F. (2005). The tangent space to a hypoelliptic diffusion and applications. Lecture Notes in Mathematics, 1857, 338-362. https://doi.org/10.1007/978-3-540-31449-3_23
Baudoin, F. & Demni, N. (2018). Integral representation of the sub-elliptic heat kernel on the complex anti-de Sitter fibration. ARCHIV DER MATHEMATIK, 111(4), 399-406. https://doi.org/10.1007/s00013-018-1201-1
Baudoin, F. & Garofalo, N. (2011). Perelman's entropy and doubling property on Riemannian manifolds. Journal of Geometric Analysis, 21(4), 1119-1131. https://doi.org/10.1007/s12220-010-9180-x
Baudoin, F., Ouyang, C. & Zhang, X. (2016). Smoothing effect of rough differential equations driven by fractional Brownian motions. Annales de l'institut Henri Poincare (B) Probability and Statistics, 52(1), 412-428. https://doi.org/10.1214/14-AIHP642
Baudoin, F., Hairer, M. & Teichmann, J. (2008). Ornstein-Uhlenbeck processes on Lie groups. Journal of Functional Analysis, 255(4), 877-890. https://doi.org/10.1016/j.jfa.2008.05.004
Baudoin, F. (2008). Brownian Chen series and Atiyah-Singer theorem. Journal of Functional Analysis, 254(2), 301-317. https://doi.org/10.1016/j.jfa.2007.09.022
Baudoin, F. & Nualart, D. (2005). Erratum: "Equivalence of Volterra processes" (Stochastic Process. Appl. (2003) vol. 107 (327-350) 10.1016/S0304-4149(03)00088-7). Stochastic Processes and Their Applications, 115(4), 701-703. https://doi.org/10.1016/j.spa.2004.11.002
Baudoin, F. & Nualart, D. (2003). Equivalence of Volterra processes. Stochastic Processes and Their Applications, 107(2), 327-350. https://doi.org/10.1016/S0304-4149(03)00088-7
Baudoin, F. & Wang, J. (2021). Asymptotic windings of the block determinants of a unitary brownian motion and related diffusions. Electronic Journal of Probability, 26, Article 38. https://doi.org/10.1214/21-EJP600
Baudoin, F. & Grong, E. (2019). Transverse Weitzenböck formulas and de Rham cohomology of totally geodesic foliations. Annals of Global Analysis and Geometry, 56(2), 403-428. https://doi.org/10.1007/s10455-019-09672-x
Baudoin, F. (2015). Stochastic Differential Equations Driven by Loops. In Progress in Probability (pp. 59-80). Birkhauser. https://doi.org/10.1007/978-3-319-13984-5_3
Baudoin, F. & Coutin, L. (2005). Étude en temps petit des solutions d'EDS conduites par des mouvements browniens fractionnaires. Comptes Rendus Mathematique, 341(1), 39-42. https://doi.org/10.1016/j.crma.2005.05.010
Baudoin, F. & O'Connell, N. (2011). Exponential functionals of Brownian motion and class-one Whittaker functions. Annales de l'institut Henri Poincare (B) Probability and Statistics, 47(4), 1096-1120. https://doi.org/10.1214/10-AIHP401

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