Institut for Matematik

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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), Artikel 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. I Malliavin Calculus and Stochastic Analysis: A Festschrift in Honor of David Nualart (s. 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. I International Encyclopedia of Education (s. 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), Artikel 110814. https://doi.org/10.1016/j.jfa.2024.110814
Baudoin, F. & Vega-Molino, S. (2025). Holonomy of H-type foliations. I F. Baudoin & L. Rizzi (red.), New Trends in Sub-Riemannian Geometry - AMS-EMS-SMF Special Session Sub-Riemannian Geometry and Interactions, 2022 (s. 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. I F. Baudoin & L. Rizzi (red.), New Trends in Sub-Riemannian Geometry - AMS-EMS-SMF Special Session Sub-Riemannian Geometry and Interactions, 2022 (s. 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), Artikel 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), Artikel 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), Artikel 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.
Bataillon, T., Duan, J., Hvilsom, C., Jin, X., Li, Y., Skov, L., Glemin, S., Munch, K., Jiang, T., Qian, Y., Hobolth, A., Wang, J., Mailund, T., Siegismund, H. R. & Schierup, M. H. (2015). Inference of purifying and positive selection in three subspecies of chimpanzees (Pan troglodytes) from exome sequencing. Genome Biology and Evolution, 7(4), 1122-32. https://doi.org/10.1093/gbe/evv058
Basse-O'Connor, A. (2008). Gaussian moving averages and semimartingales. Electronic Journal of Probability, 13, 1140-1165.
Basse-O'Connor, A. & Pedersen, J. (2009). Lévy driven moving averages and semimartingales. Stochastic Processes and Their Applications, 119(9), 2970-2991. https://doi.org/10.1016/j.spa.2009.03.007
Basse-O'Connor, A. (2009). Spectral representation of Gaussian semimartingales. Journal of Theoretical Probability, 22(4), 811-826. https://doi.org/10.1007/s10959-009-0246-2

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