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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
Baudoin, F. & Kelleher, D. J. (2019). Differential one-forms on dirichlet spaces and bakry-Émery estimates on metric graphs. Transactions of the American Mathematical Society, 371(5), 3145-3178. https://doi.org/10.1090/tran/7362
Baudoin, F. & Nguyen-Ngoc, L. (2004). The financial value of a weak information on a financial market. Finance and Stochastics, 8(3), 415-435. https://doi.org/10.1007/s00780-003-0116-1
Baudoin, F. (2002). Skew-product decompositions of Brownian motions on manifolds: A probabilistic aspect of the Lichnerowics-Szabo theorem. Bulletin des Sciences Mathematiques, 126(6), 481-491. https://doi.org/10.1016/S0007-4497(02)01123-5
Baudoin, F. & Bonnefont, M. (2016). Reverse Poincaré inequalities, isoperimetry, and Riesz transforms in Carnot groups. Nonlinear Analysis: Theory, Methods & Applications, 131, 48-59. https://doi.org/10.1016/j.na.2015.10.014
Baudoin, F., Ouyang, C. & Tindel, S. (2014). Upper bounds for the density of solutions to stochastic differential equations driven by fractional Brownian motions. Annales de l'institut Henri Poincare (B) Probability and Statistics, 50(1), 111-135. https://doi.org/10.1214/12-AIHP522
Baudoin, F. & Coutin, L. (2008). Self-similarity and fractional Brownian motions on lie groups. Electronic Journal of Probability, 13, 1120-1139. https://doi.org/10.1214/EJP.v13-530
Baudoin, F. & Kim, B. (2014). Sobolev, Poincaré, and isoperimetric inequalities for subelliptic diffusion operators satisfying a generalized curvature dimension inequality. Revista Matematica Iberoamericana, 30(1), 109-131. https://doi.org/10.4171/rmi/771
Baudoin, F., Grong, E., Kuwada, K. & Thalmaier, A. (2019). Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations. Calculus of Variations and Partial Differential Equations, 58(4), Article 130. https://doi.org/10.1007/s00526-019-1570-8
Baudoin, F. & Kim, B. (2016). The Lichnerowicz–Obata Theorem on Sub-Riemannian Manifolds with Transverse Symmetries. Journal of Geometric Analysis, 26(1), 156-170. https://doi.org/10.1007/s12220-014-9542-x
Baudoin, F. & Ouyang, C. (2013). Gradient Bounds for Solutions of Stochastic Differential Equations Driven by Fractional Brownian Motions. In Malliavin Calculus and Stochastic Analysis: A Festschrift in Honor of David Nualart (pp. 413-426). Springer. https://doi.org/10.1007/978-1-4614-5906-4_18
Baudoin, F. & Wang, J. (2014). Curvature Dimension Inequalities and Subelliptic Heat Kernel Gradient Bounds on Contact Manifolds. Potential Analysis, 40(2), 163-193. https://doi.org/10.1007/s11118-013-9345-x
Baudoin, F., Feng, Q. & Gordina, M. (2019). Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds. Journal of Functional Analysis, 277(5), 1362-1422. https://doi.org/10.1016/j.jfa.2019.06.006
Baudoin, F. & Munteanu, O. (2021). Improved Beckner–Sobolev Inequalities on Kähler Manifolds. Journal of Geometric Analysis, 31(1), 100-125. https://doi.org/10.1007/s12220-019-00252-w
Baudoin, F., Ouyang, C. & Zhang, X. (2015). Varadhan estimates for rough differential equations driven by fractional Brownian motions. Stochastic Processes and Their Applications, 125(2), 634-652. https://doi.org/10.1016/j.spa.2014.09.012
Baudoin, F., Bonnefont, M., Garofalo, N. & Munive, I. H. (2014). Volume and distance comparison theorems for sub-Riemannian manifolds. Journal of Functional Analysis, 267(7), 2005-2027. https://doi.org/10.1016/j.jfa.2014.07.030
Baudoin, F., Kim, B. & Wang, J. (2016). Transverse Weitzenböck formulas and curvature dimension inequalities on Riemannian foliations with totally geodesic leaves. Communications in Analysis and Geometry, 24(5), 913-937. https://doi.org/10.4310/CAG.2016.v24.n5.a1
Baudoin, F. & Zhang, X. (2012). Taylor expansion for the solution of a stochastic differential equation driven by fractional Brownian motions. Electronic Journal of Probability, 17, 1-21. https://doi.org/10.1214/EJP.v17-2136
Baudoin, F., Gordina, M. & Herzog, D. P. (2021). Gamma Calculus Beyond Villani and Explicit Convergence Estimates for Langevin Dynamics with Singular Potentials. Archive for Rational Mechanics and Analysis, 241(2), 765-804. https://doi.org/10.1007/s00205-021-01664-1
Baudoin, F. (2007). A Bismut type theorem for subelliptic heat semigroups. Comptes Rendus Mathematique, 344(12), 765-768. https://doi.org/10.1016/j.crma.2007.05.005
Baudoin, F. (2010). Stochastic processes. In International Encyclopedia of Education (pp. 451-452). Elsevier Ltd.. https://doi.org/10.1016/B978-0-08-044894-7.01369-5
Baudoin, F. & Wang, J. (2014). The Subelliptic Heat Kernels of the Quaternionic Hopf Fibration. Potential Analysis, 41(3), 959-982. https://doi.org/10.1007/s11118-014-9403-z
Baudoin, F. & Hairer, M. (2007). A version of Hörmander's theorem for the fractional Brownian motion. Probability Theory and Related Fields, 139(3-4), 373-395. https://doi.org/10.1007/s00440-006-0035-0

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