Department of Mathematics

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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
Baudoin, F. & Bonnefont, M. (2012). Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality. Journal of Functional Analysis, 262(6), 2646-2676. https://doi.org/10.1016/j.jfa.2011.12.020
Baudoin, F. (2002). Conditioned stochastic differential equations: Theory, examples and application to finance. Stochastic Processes and Their Applications, 100(1-2), 109-145. https://doi.org/10.1016/S0304-4149(02)00109-6
Baudoin, F. & Vatamanelu, A. (2012). A Note on Lower Bounds Estimates for the Neumann Eigenvalues of Manifolds with Positive Ricci Curvature. Potential Analysis, 37(1), 91-101. https://doi.org/10.1007/s11118-011-9251-z
Baudoin, F. & Cecil, M. (2015). The subelliptic heat kernel on the three-dimensional solvable Lie groups. Forum Mathematicum, 27(4), 2051-2086. https://doi.org/10.1515/forum-2013-0020
Baudoin, F. & Wang, J. (2013). The subelliptic heat kernel on the CR sphere. Mathematische Zeitschrift, 275(1-2), 135-150. https://doi.org/10.1007/s00209-012-1127-4
Baudoin, F. & Ouyang, C. (2011). Small-time kernel expansion for solutions of stochastic differential equations driven by fractional Brownian motions. Stochastic Processes and Their Applications, 121(4), 759-792. https://doi.org/10.1016/j.spa.2010.11.011
Baudoin, F., Lang, Q. & Sire, Y. (2024). Extension method in Dirichlet spaces with sub-Gaussian estimates and applications to regularity of jump processes on fractals.
Baudoin, F., Gordina, M. & Sarkar, R. (2024). Dimension-independent functional inequalities by tensorization and projection arguments.
Baudoin, F. (2024). Bottom of the spectrum for manifolds foliated by minimal leaves.
Baudoin, F. & Mostovyi, O. (2024). The indifference value of the weak information.
Baudoin, F. (2024). Korevaar–Schoen–Sobolev spaces and critical exponents in metric measure spaces. Annales Fennici Mathematici, 49(2), 487-527. https://doi.org/10.54330/AFM.147513
Baudoin, F. & Chen, L. (2024). Heat kernel gradient estimates for the Vicsek set. Mathematische Nachrichten, 297(12), 4450-4477. https://doi.org/10.1002/mana.202400180
Baudoin, F. & Kuijper, T. (2024). On the law of the index of Brownian loops related to the Hopf and anti-de Sitter fibrations.
Baudoin, F., Chen, H. & Ouyang, C. (2024). Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds.
Baudoin, F., Chen, L., Huang, C.-H., Ouyang, C., Tindel, S. & Wang, J. (2025). Weighted Besov spaces on Heisenberg groups and applications to the Parabolic Anderson model. ArXiv. https://doi.org/10.48550/arXiv.2501.04593
Baudoin, F., Gordina, M., Herzog, D. P., Kim, J. & Melcher, T. (2025). Functional inequalities for a family of infinite-dimensional diffusions with degenerate noise. Journal of Functional Analysis, 288(6), Article 110814. https://doi.org/10.1016/j.jfa.2024.110814
Baudoin, F. & Vega-Molino, S. (2025). Holonomy of H-type foliations. In F. Baudoin & L. Rizzi (Eds.), New Trends in Sub-Riemannian Geometry - AMS-EMS-SMF Special Session Sub-Riemannian Geometry and Interactions, 2022 (pp. 49-58). American Mathematical Society. https://doi.org/10.1090/conm/809/16200
Baudoin, F., Bonnefont, M. & Chen, L. (2025). Convergence to equilibrium for hypoelliptic non-symmetric Ornstein-Uhlenbeck-type operators. In F. Baudoin & L. Rizzi (Eds.), New Trends in Sub-Riemannian Geometry - AMS-EMS-SMF Special Session Sub-Riemannian Geometry and Interactions, 2022 (pp. 103-122). American Mathematical Society. https://doi.org/10.1090/conm/809/16204
Baudoin, F., Grong, E., Rizzi, L. & Vega-Molino, S. (2025). Comparison theorems on H-type sub-Riemannian manifolds. Calculus of Variations and Partial Differential Equations, 64(5), Article 143. https://doi.org/10.1007/s00526-025-02992-w
Baudoin, F. & Rizzi, L. (2025). Preface. Contemporary Mathematics, 809, vii.
Baudoin, F. (2025). Topology and bottom spectrum of transversally negatively curved foliations. Annals of Global Analysis and Geometry, 68(3), Article 16. https://doi.org/10.1007/s10455-025-10020-5
Baudoin, F., Chen, H. & Ouyang, C. (2025). Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds. Journal of Mathematical Analysis and Applications, 552(2), Article 129805. https://doi.org/10.1016/j.jmaa.2025.129805
Baudoin, F., Kuijper, T. & Wang, J. (2025). Quaternionic stochastic areas on quaternionic full flag manifolds and applications.
Baudoin, F. & Yang, G. (2026). Sub-Laplacian generalized curvature dimension inequalities on Riemannian foliations.
Baudoin, F., Chen, L., Huang, C. H., Ouyang, C., Tindel, S. & Wang, J. (2026). Parabolic Anderson model in bounded domains of recurrent metric measure spaces. Transactions of the American Mathematical Society, 379(3), 1799-1851. https://doi.org/10.1090/tran/9540
Baudoin, F., Kuijper, T. & Wang, J. (2026). Quaternionic Stochastic Areas on Quaternionic Full Flag Manifolds and Applications. Journal of Theoretical Probability, 39(3), Article 52. https://doi.org/10.1007/s10959-026-01514-4
Baudoin, F., Gordina, M. & Sarkar, R. (2026). Dimension-Independent Functional Inequalities by Tensorization and Projection Arguments. Mathematische Nachrichten. Advance online publication. https://doi.org/10.1002/mana.70164
Barndorff-Nielsen, O. E. & Thorbjørnsen, S. (2004). Bicontinuity of the Upsilon Transformations. MaPhySto, Aarhus Universitet.
Barndorff-Nielsen, O. E. & Thorbjørnsen, S. (2002). Lévy laws in free probability. Proc. Nat. Acad. Sci., 99(26), 16568-16575.
Barndorff-Nielsen, O. E. & Thorbjørnsen, S. (2002). Lévy processes in free probability. Proc. Nat. Acad. Sci., 99(26), 16576-16580.

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Lars Madsen